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Finding the Fourth Proportional to 624.89, 862.17 and 428.47

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Solution

The fourth proportional to 624.89, 862.17 and 428.47 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.89 : 862.17 = 428.47 : x
  2. Step 2: Convert to fraction form
    624.89/862.17 = 428.47/x
  3. Step 3: Cross multiply
    624.89x = 862.17 × 428.47
  4. Step 4: Simplify right side
    624.89x = 369,409.67
  5. Step 5: Solve for x
    x = 369,409.67/624.89
  6. Step 6: Final answer
    x = 591.16

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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.