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Finding the Fourth Proportional to 866.30, 1,296.76 and 499.97

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Solution

The fourth proportional to 866.30, 1,296.76 and 499.97 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.30 : 1,296.76 = 499.97 : x
  2. Step 2: Convert to fraction form
    866.30/1,296.76 = 499.97/x
  3. Step 3: Cross multiply
    866.30x = 1,296.76 × 499.97
  4. Step 4: Simplify right side
    866.30x = 648,344.03
  5. Step 5: Solve for x
    x = 648,344.03/866.30
  6. Step 6: Final answer
    x = 748.41

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Double scale
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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.