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Finding the Fourth Proportional to 699.72, 1,049.24 and 407.32

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Solution

The fourth proportional to 699.72, 1,049.24 and 407.32 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 1,049.24 = 407.32 : x
  2. Step 2: Convert to fraction form
    699.72/1,049.24 = 407.32/x
  3. Step 3: Cross multiply
    699.72x = 1,049.24 × 407.32
  4. Step 4: Simplify right side
    699.72x = 427,376.44
  5. Step 5: Solve for x
    x = 427,376.44/699.72
  6. Step 6: Final answer
    x = 610.78

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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.