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Finding the Fourth Proportional to 588.44, 812.36 and 402.20

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Solution

The fourth proportional to 588.44, 812.36 and 402.20 is: 555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.44 : 812.36 = 402.20 : x
  2. Step 2: Convert to fraction form
    588.44/812.36 = 402.20/x
  3. Step 3: Cross multiply
    588.44x = 812.36 × 402.20
  4. Step 4: Simplify right side
    588.44x = 326,725.12
  5. Step 5: Solve for x
    x = 326,725.12/588.44
  6. Step 6: Final answer
    x = 555.24

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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.