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Finding the Fourth Proportional to 591.49, 885.38 and 429.13

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Solution

The fourth proportional to 591.49, 885.38 and 429.13 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.49 : 885.38 = 429.13 : x
  2. Step 2: Convert to fraction form
    591.49/885.38 = 429.13/x
  3. Step 3: Cross multiply
    591.49x = 885.38 × 429.13
  4. Step 4: Simplify right side
    591.49x = 379,940.97
  5. Step 5: Solve for x
    x = 379,940.97/591.49
  6. Step 6: Final answer
    x = 642.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.