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Finding the Fourth Proportional to 1,299.38, 1,948.68 and 649.94

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Solution

The fourth proportional to 1,299.38, 1,948.68 and 649.94 is: 974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.38 : 1,948.68 = 649.94 : x
  2. Step 2: Convert to fraction form
    1,299.38/1,948.68 = 649.94/x
  3. Step 3: Cross multiply
    1,299.38x = 1,948.68 × 649.94
  4. Step 4: Simplify right side
    1,299.38x = 1,266,525.08
  5. Step 5: Solve for x
    x = 1,266,525.08/1,299.38
  6. Step 6: Final answer
    x = 974.71

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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.