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Finding the Fourth Proportional to 402.13, 602.25 and 394.57

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Solution

The fourth proportional to 402.13, 602.25 and 394.57 is: 590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 602.25 = 394.57 : x
  2. Step 2: Convert to fraction form
    402.13/602.25 = 394.57/x
  3. Step 3: Cross multiply
    402.13x = 602.25 × 394.57
  4. Step 4: Simplify right side
    402.13x = 237,629.78
  5. Step 5: Solve for x
    x = 237,629.78/402.13
  6. Step 6: Final answer
    x = 590.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.