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Finding the Fourth Proportional to 402.76, 600.68 and 394.64

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Solution

The fourth proportional to 402.76, 600.68 and 394.64 is: 588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.76 : 600.68 = 394.64 : x
  2. Step 2: Convert to fraction form
    402.76/600.68 = 394.64/x
  3. Step 3: Cross multiply
    402.76x = 600.68 × 394.64
  4. Step 4: Simplify right side
    402.76x = 237,052.36
  5. Step 5: Solve for x
    x = 237,052.36/402.76
  6. Step 6: Final answer
    x = 588.57

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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.