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Finding the Fourth Proportional to 585.95, 878.49 and 354.78

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Solution

The fourth proportional to 585.95, 878.49 and 354.78 is: 531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.95 : 878.49 = 354.78 : x
  2. Step 2: Convert to fraction form
    585.95/878.49 = 354.78/x
  3. Step 3: Cross multiply
    585.95x = 878.49 × 354.78
  4. Step 4: Simplify right side
    585.95x = 311,668.91
  5. Step 5: Solve for x
    x = 311,668.91/585.95
  6. Step 6: Final answer
    x = 531.91

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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.