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Finding the Fourth Proportional to 697.41, 1,045.91 and 657.32

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Solution

The fourth proportional to 697.41, 1,045.91 and 657.32 is: 985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.41 : 1,045.91 = 657.32 : x
  2. Step 2: Convert to fraction form
    697.41/1,045.91 = 657.32/x
  3. Step 3: Cross multiply
    697.41x = 1,045.91 × 657.32
  4. Step 4: Simplify right side
    697.41x = 687,493.97
  5. Step 5: Solve for x
    x = 687,493.97/697.41
  6. Step 6: Final answer
    x = 985.78

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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.