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Finding the Fourth Proportional to 616.31, 849.89 and 429.50

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Solution

The fourth proportional to 616.31, 849.89 and 429.50 is: 592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.31 : 849.89 = 429.50 : x
  2. Step 2: Convert to fraction form
    616.31/849.89 = 429.50/x
  3. Step 3: Cross multiply
    616.31x = 849.89 × 429.50
  4. Step 4: Simplify right side
    616.31x = 365,030.95
  5. Step 5: Solve for x
    x = 365,030.95/616.31
  6. Step 6: Final answer
    x = 592.29

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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.