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Finding the Fourth Proportional to 585.45, 878.21 and 174.57

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Solution

The fourth proportional to 585.45, 878.21 and 174.57 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 878.21 = 174.57 : x
  2. Step 2: Convert to fraction form
    585.45/878.21 = 174.57/x
  3. Step 3: Cross multiply
    585.45x = 878.21 × 174.57
  4. Step 4: Simplify right side
    585.45x = 153,308.25
  5. Step 5: Solve for x
    x = 153,308.25/585.45
  6. Step 6: Final answer
    x = 261.86

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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.