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Finding the Fourth Proportional to 585.49, 878.26 and 499.42

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Solution

The fourth proportional to 585.49, 878.26 and 499.42 is: 749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.49 : 878.26 = 499.42 : x
  2. Step 2: Convert to fraction form
    585.49/878.26 = 499.42/x
  3. Step 3: Cross multiply
    585.49x = 878.26 × 499.42
  4. Step 4: Simplify right side
    585.49x = 438,620.61
  5. Step 5: Solve for x
    x = 438,620.61/585.49
  6. Step 6: Final answer
    x = 749.16

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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.