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Finding the Fourth Proportional to 697.64, 962.78 and 402.99

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Solution

The fourth proportional to 697.64, 962.78 and 402.99 is: 556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.64 : 962.78 = 402.99 : x
  2. Step 2: Convert to fraction form
    697.64/962.78 = 402.99/x
  3. Step 3: Cross multiply
    697.64x = 962.78 × 402.99
  4. Step 4: Simplify right side
    697.64x = 387,988.70
  5. Step 5: Solve for x
    x = 387,988.70/697.64
  6. Step 6: Final answer
    x = 556.15

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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.