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Finding the Fourth Proportional to 700.18, 1,049.96 and 407.97

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Solution

The fourth proportional to 700.18, 1,049.96 and 407.97 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.18 : 1,049.96 = 407.97 : x
  2. Step 2: Convert to fraction form
    700.18/1,049.96 = 407.97/x
  3. Step 3: Cross multiply
    700.18x = 1,049.96 × 407.97
  4. Step 4: Simplify right side
    700.18x = 428,353.20
  5. Step 5: Solve for x
    x = 428,353.20/700.18
  6. Step 6: Final answer
    x = 611.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.