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Finding the Fourth Proportional to 1,298.99, 1,948.71 and 649.73

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Solution

The fourth proportional to 1,298.99, 1,948.71 and 649.73 is: 974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.99 : 1,948.71 = 649.73 : x
  2. Step 2: Convert to fraction form
    1,298.99/1,948.71 = 649.73/x
  3. Step 3: Cross multiply
    1,298.99x = 1,948.71 × 649.73
  4. Step 4: Simplify right side
    1,298.99x = 1,266,135.35
  5. Step 5: Solve for x
    x = 1,266,135.35/1,298.99
  6. Step 6: Final answer
    x = 974.71

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.