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Finding the Fourth Proportional to 585.01, 878.13 and 431.11

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Solution

The fourth proportional to 585.01, 878.13 and 431.11 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.01 : 878.13 = 431.11 : x
  2. Step 2: Convert to fraction form
    585.01/878.13 = 431.11/x
  3. Step 3: Cross multiply
    585.01x = 878.13 × 431.11
  4. Step 4: Simplify right side
    585.01x = 378,568.47
  5. Step 5: Solve for x
    x = 378,568.47/585.01
  6. Step 6: Final answer
    x = 647.11

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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.