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Finding the Fourth Proportional to 588.50, 812.24 and 378.74

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Solution

The fourth proportional to 588.50, 812.24 and 378.74 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.50 : 812.24 = 378.74 : x
  2. Step 2: Convert to fraction form
    588.50/812.24 = 378.74/x
  3. Step 3: Cross multiply
    588.50x = 812.24 × 378.74
  4. Step 4: Simplify right side
    588.50x = 307,627.78
  5. Step 5: Solve for x
    x = 307,627.78/588.50
  6. Step 6: Final answer
    x = 522.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.