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Finding the Fourth Proportional to 697.64, 964.52 and 667.04

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Solution

The fourth proportional to 697.64, 964.52 and 667.04 is: 922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 964.52 = 667.04 : x
  2. Step 2: Convert to fraction form
    697.64/964.52 = 667.04/x
  3. Step 3: Cross multiply
    697.64x = 964.52 × 667.04
  4. Step 4: Simplify right side
    697.64x = 643,373.42
  5. Step 5: Solve for x
    x = 643,373.42/697.64
  6. Step 6: Final answer
    x = 922.21

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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.