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Finding the Fourth Proportional to 697.59, 962.89 and 402.80

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Solution

The fourth proportional to 697.59, 962.89 and 402.80 is: 555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.59 : 962.89 = 402.80 : x
  2. Step 2: Convert to fraction form
    697.59/962.89 = 402.80/x
  3. Step 3: Cross multiply
    697.59x = 962.89 × 402.80
  4. Step 4: Simplify right side
    697.59x = 387,846.27
  5. Step 5: Solve for x
    x = 387,846.27/697.59
  6. Step 6: Final answer
    x = 555.98

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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.