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Finding the Fourth Proportional to 697.62, 962.80 and 402.89

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Solution

The fourth proportional to 697.62, 962.80 and 402.89 is: 556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.62 : 962.80 = 402.89 : x
  2. Step 2: Convert to fraction form
    697.62/962.80 = 402.89/x
  3. Step 3: Cross multiply
    697.62x = 962.80 × 402.89
  4. Step 4: Simplify right side
    697.62x = 387,902.49
  5. Step 5: Solve for x
    x = 387,902.49/697.62
  6. Step 6: Final answer
    x = 556.04

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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.