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Finding the Fourth Proportional to 697.46, 960.05 and 631.85

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Solution

The fourth proportional to 697.46, 960.05 and 631.85 is: 869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.46 : 960.05 = 631.85 : x
  2. Step 2: Convert to fraction form
    697.46/960.05 = 631.85/x
  3. Step 3: Cross multiply
    697.46x = 960.05 × 631.85
  4. Step 4: Simplify right side
    697.46x = 606,607.59
  5. Step 5: Solve for x
    x = 606,607.59/697.46
  6. Step 6: Final answer
    x = 869.74

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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.