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Finding the Fourth Proportional to 714.52, 985.96 and 434.91

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Solution

The fourth proportional to 714.52, 985.96 and 434.91 is: 600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.52 : 985.96 = 434.91 : x
  2. Step 2: Convert to fraction form
    714.52/985.96 = 434.91/x
  3. Step 3: Cross multiply
    714.52x = 985.96 × 434.91
  4. Step 4: Simplify right side
    714.52x = 428,801.69
  5. Step 5: Solve for x
    x = 428,801.69/714.52
  6. Step 6: Final answer
    x = 600.13

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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.