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Finding the Fourth Proportional to 700.57, 966.90 and 405.78

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Solution

The fourth proportional to 700.57, 966.90 and 405.78 is: 560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.57 : 966.90 = 405.78 : x
  2. Step 2: Convert to fraction form
    700.57/966.90 = 405.78/x
  3. Step 3: Cross multiply
    700.57x = 966.90 × 405.78
  4. Step 4: Simplify right side
    700.57x = 392,348.68
  5. Step 5: Solve for x
    x = 392,348.68/700.57
  6. Step 6: Final answer
    x = 560.04

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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.