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Finding the Fourth Proportional to 581.76, 871.25 and 337.55

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Solution

The fourth proportional to 581.76, 871.25 and 337.55 is: 505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.76 : 871.25 = 337.55 : x
  2. Step 2: Convert to fraction form
    581.76/871.25 = 337.55/x
  3. Step 3: Cross multiply
    581.76x = 871.25 × 337.55
  4. Step 4: Simplify right side
    581.76x = 294,084.39
  5. Step 5: Solve for x
    x = 294,084.39/581.76
  6. Step 6: Final answer
    x = 505.51

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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.