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Finding the Fourth Proportional to 592.38, 885.17 and 427.05

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Solution

The fourth proportional to 592.38, 885.17 and 427.05 is: 638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.38 : 885.17 = 427.05 : x
  2. Step 2: Convert to fraction form
    592.38/885.17 = 427.05/x
  3. Step 3: Cross multiply
    592.38x = 885.17 × 427.05
  4. Step 4: Simplify right side
    592.38x = 378,012.92
  5. Step 5: Solve for x
    x = 378,012.92/592.38
  6. Step 6: Final answer
    x = 638.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.