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Finding the Fourth Proportional to 402.23, 602.75 and 392.64

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Solution

The fourth proportional to 402.23, 602.75 and 392.64 is: 588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.23 : 602.75 = 392.64 : x
  2. Step 2: Convert to fraction form
    402.23/602.75 = 392.64/x
  3. Step 3: Cross multiply
    402.23x = 602.75 × 392.64
  4. Step 4: Simplify right side
    402.23x = 236,664.74
  5. Step 5: Solve for x
    x = 236,664.74/402.23
  6. Step 6: Final answer
    x = 588.39

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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.