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Finding the Fourth Proportional to 689.88, 951.60 and 409.92

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Solution

The fourth proportional to 689.88, 951.60 and 409.92 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.88 : 951.60 = 409.92 : x
  2. Step 2: Convert to fraction form
    689.88/951.60 = 409.92/x
  3. Step 3: Cross multiply
    689.88x = 951.60 × 409.92
  4. Step 4: Simplify right side
    689.88x = 390,079.87
  5. Step 5: Solve for x
    x = 390,079.87/689.88
  6. Step 6: Final answer
    x = 565.43

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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.