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Finding the Fourth Proportional to 585.05, 875.78 and 379.20

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Solution

The fourth proportional to 585.05, 875.78 and 379.20 is: 567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 875.78 = 379.20 : x
  2. Step 2: Convert to fraction form
    585.05/875.78 = 379.20/x
  3. Step 3: Cross multiply
    585.05x = 875.78 × 379.20
  4. Step 4: Simplify right side
    585.05x = 332,098.59
  5. Step 5: Solve for x
    x = 332,098.59/585.05
  6. Step 6: Final answer
    x = 567.65

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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.