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Finding the Fourth Proportional to 402.60, 601.81 and 392.88

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Solution

The fourth proportional to 402.60, 601.81 and 392.88 is: 587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.60 : 601.81 = 392.88 : x
  2. Step 2: Convert to fraction form
    402.60/601.81 = 392.88/x
  3. Step 3: Cross multiply
    402.60x = 601.81 × 392.88
  4. Step 4: Simplify right side
    402.60x = 236,439.11
  5. Step 5: Solve for x
    x = 236,439.11/402.60
  6. Step 6: Final answer
    x = 587.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.