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Finding the Fourth Proportional to 697.72, 963.32 and 476.60

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Solution

The fourth proportional to 697.72, 963.32 and 476.60 is: 658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.72 : 963.32 = 476.60 : x
  2. Step 2: Convert to fraction form
    697.72/963.32 = 476.60/x
  3. Step 3: Cross multiply
    697.72x = 963.32 × 476.60
  4. Step 4: Simplify right side
    697.72x = 459,118.31
  5. Step 5: Solve for x
    x = 459,118.31/697.72
  6. Step 6: Final answer
    x = 658.03

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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.