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Finding the Fourth Proportional to 1,298.26, 1,945.76 and 649.18

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Solution

The fourth proportional to 1,298.26, 1,945.76 and 649.18 is: 972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.26 : 1,945.76 = 649.18 : x
  2. Step 2: Convert to fraction form
    1,298.26/1,945.76 = 649.18/x
  3. Step 3: Cross multiply
    1,298.26x = 1,945.76 × 649.18
  4. Step 4: Simplify right side
    1,298.26x = 1,263,142.20
  5. Step 5: Solve for x
    x = 1,263,142.20/1,298.26
  6. Step 6: Final answer
    x = 972.95

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.