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Finding the Fourth Proportional to 689.82, 951.52 and 409.86

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Solution

The fourth proportional to 689.82, 951.52 and 409.86 is: 565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 951.52 = 409.86 : x
  2. Step 2: Convert to fraction form
    689.82/951.52 = 409.86/x
  3. Step 3: Cross multiply
    689.82x = 951.52 × 409.86
  4. Step 4: Simplify right side
    689.82x = 389,990.88
  5. Step 5: Solve for x
    x = 389,990.88/689.82
  6. Step 6: Final answer
    x = 565.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.