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Finding the Fourth Proportional to 588.62, 812.76 and 477.92

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Solution

The fourth proportional to 588.62, 812.76 and 477.92 is: 659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.62 : 812.76 = 477.92 : x
  2. Step 2: Convert to fraction form
    588.62/812.76 = 477.92/x
  3. Step 3: Cross multiply
    588.62x = 812.76 × 477.92
  4. Step 4: Simplify right side
    588.62x = 388,434.26
  5. Step 5: Solve for x
    x = 388,434.26/588.62
  6. Step 6: Final answer
    x = 659.91

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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.