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Finding the Fourth Proportional to 585.91, 874.59 and 540.55

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Solution

The fourth proportional to 585.91, 874.59 and 540.55 is: 806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 874.59 = 540.55 : x
  2. Step 2: Convert to fraction form
    585.91/874.59 = 540.55/x
  3. Step 3: Cross multiply
    585.91x = 874.59 × 540.55
  4. Step 4: Simplify right side
    585.91x = 472,759.62
  5. Step 5: Solve for x
    x = 472,759.62/585.91
  6. Step 6: Final answer
    x = 806.88

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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.