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Finding the Fourth Proportional to 588.52, 812.32 and 339.92

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Solution

The fourth proportional to 588.52, 812.32 and 339.92 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.52 : 812.32 = 339.92 : x
  2. Step 2: Convert to fraction form
    588.52/812.32 = 339.92/x
  3. Step 3: Cross multiply
    588.52x = 812.32 × 339.92
  4. Step 4: Simplify right side
    588.52x = 276,123.81
  5. Step 5: Solve for x
    x = 276,123.81/588.52
  6. Step 6: Final answer
    x = 469.18

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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.