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Finding the Fourth Proportional to 697.40, 962.62 and 402.88

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Solution

The fourth proportional to 697.40, 962.62 and 402.88 is: 556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 962.62 = 402.88 : x
  2. Step 2: Convert to fraction form
    697.40/962.62 = 402.88/x
  3. Step 3: Cross multiply
    697.40x = 962.62 × 402.88
  4. Step 4: Simplify right side
    697.40x = 387,820.35
  5. Step 5: Solve for x
    x = 387,820.35/697.40
  6. Step 6: Final answer
    x = 556.09

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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.