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Finding the Fourth Proportional to 697.69, 1,045.18 and 372.61

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Solution

The fourth proportional to 697.69, 1,045.18 and 372.61 is: 558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.69 : 1,045.18 = 372.61 : x
  2. Step 2: Convert to fraction form
    697.69/1,045.18 = 372.61/x
  3. Step 3: Cross multiply
    697.69x = 1,045.18 × 372.61
  4. Step 4: Simplify right side
    697.69x = 389,444.52
  5. Step 5: Solve for x
    x = 389,444.52/697.69
  6. Step 6: Final answer
    x = 558.19

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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.