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Finding the Fourth Proportional to 697.48, 959.68 and 639.88

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Solution

The fourth proportional to 697.48, 959.68 and 639.88 is: 880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 959.68 = 639.88 : x
  2. Step 2: Convert to fraction form
    697.48/959.68 = 639.88/x
  3. Step 3: Cross multiply
    697.48x = 959.68 × 639.88
  4. Step 4: Simplify right side
    697.48x = 614,080.04
  5. Step 5: Solve for x
    x = 614,080.04/697.48
  6. Step 6: Final answer
    x = 880.43

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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.