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Finding the Fourth Proportional to 699.91, 966.60 and 534.53

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Solution

The fourth proportional to 699.91, 966.60 and 534.53 is: 738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.91 : 966.60 = 534.53 : x
  2. Step 2: Convert to fraction form
    699.91/966.60 = 534.53/x
  3. Step 3: Cross multiply
    699.91x = 966.60 × 534.53
  4. Step 4: Simplify right side
    699.91x = 516,679.11
  5. Step 5: Solve for x
    x = 516,679.11/699.91
  6. Step 6: Final answer
    x = 738.21

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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.