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Finding the Fourth Proportional to 700.47, 966.24 and 534.15

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Solution

The fourth proportional to 700.47, 966.24 and 534.15 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.47 : 966.24 = 534.15 : x
  2. Step 2: Convert to fraction form
    700.47/966.24 = 534.15/x
  3. Step 3: Cross multiply
    700.47x = 966.24 × 534.15
  4. Step 4: Simplify right side
    700.47x = 516,117.10
  5. Step 5: Solve for x
    x = 516,117.10/700.47
  6. Step 6: Final answer
    x = 736.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.