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Finding the Fourth Proportional to 616.64, 849.52 and 429.80

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Solution

The fourth proportional to 616.64, 849.52 and 429.80 is: 592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 849.52 = 429.80 : x
  2. Step 2: Convert to fraction form
    616.64/849.52 = 429.80/x
  3. Step 3: Cross multiply
    616.64x = 849.52 × 429.80
  4. Step 4: Simplify right side
    616.64x = 365,123.70
  5. Step 5: Solve for x
    x = 365,123.70/616.64
  6. Step 6: Final answer
    x = 592.12

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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.