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Finding the Fourth Proportional to 616.59, 849.45 and 429.74

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Solution

The fourth proportional to 616.59, 849.45 and 429.74 is: 592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.59 : 849.45 = 429.74 : x
  2. Step 2: Convert to fraction form
    616.59/849.45 = 429.74/x
  3. Step 3: Cross multiply
    616.59x = 849.45 × 429.74
  4. Step 4: Simplify right side
    616.59x = 365,042.62
  5. Step 5: Solve for x
    x = 365,042.62/616.59
  6. Step 6: Final answer
    x = 592.03

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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.