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Finding the Fourth Proportional to 585.38, 876.22 and 376.88

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Solution

The fourth proportional to 585.38, 876.22 and 376.88 is: 564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 876.22 = 376.88 : x
  2. Step 2: Convert to fraction form
    585.38/876.22 = 376.88/x
  3. Step 3: Cross multiply
    585.38x = 876.22 × 376.88
  4. Step 4: Simplify right side
    585.38x = 330,226.93
  5. Step 5: Solve for x
    x = 330,226.93/585.38
  6. Step 6: Final answer
    x = 564.13

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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.