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Finding the Fourth Proportional to 591.78, 887.31 and 429.60

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Solution

The fourth proportional to 591.78, 887.31 and 429.60 is: 644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.78 : 887.31 = 429.60 : x
  2. Step 2: Convert to fraction form
    591.78/887.31 = 429.60/x
  3. Step 3: Cross multiply
    591.78x = 887.31 × 429.60
  4. Step 4: Simplify right side
    591.78x = 381,188.38
  5. Step 5: Solve for x
    x = 381,188.38/591.78
  6. Step 6: Final answer
    x = 644.14

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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.