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Finding the Fourth Proportional to 588.68, 812.76 and 414.20

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Solution

The fourth proportional to 588.68, 812.76 and 414.20 is: 571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.68 : 812.76 = 414.20 : x
  2. Step 2: Convert to fraction form
    588.68/812.76 = 414.20/x
  3. Step 3: Cross multiply
    588.68x = 812.76 × 414.20
  4. Step 4: Simplify right side
    588.68x = 336,645.19
  5. Step 5: Solve for x
    x = 336,645.19/588.68
  6. Step 6: Final answer
    x = 571.86

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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.