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Finding the Fourth Proportional to 588.57, 812.28 and 402

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Solution

The fourth proportional to 588.57, 812.28 and 402 is: 554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 812.28 = 402 : x
  2. Step 2: Convert to fraction form
    588.57/812.28 = 402/x
  3. Step 3: Cross multiply
    588.57x = 812.28 × 402
  4. Step 4: Simplify right side
    588.57x = 326,536.56
  5. Step 5: Solve for x
    x = 326,536.56/588.57
  6. Step 6: Final answer
    x = 554.80

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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.