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Finding the Fourth Proportional to 574.78, 860.98 and 428.68

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Solution

The fourth proportional to 574.78, 860.98 and 428.68 is: 642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.78 : 860.98 = 428.68 : x
  2. Step 2: Convert to fraction form
    574.78/860.98 = 428.68/x
  3. Step 3: Cross multiply
    574.78x = 860.98 × 428.68
  4. Step 4: Simplify right side
    574.78x = 369,084.91
  5. Step 5: Solve for x
    x = 369,084.91/574.78
  6. Step 6: Final answer
    x = 642.13

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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.