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Finding the Fourth Proportional to 697.70, 962.87 and 449.03

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Solution

The fourth proportional to 697.70, 962.87 and 449.03 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.70 : 962.87 = 449.03 : x
  2. Step 2: Convert to fraction form
    697.70/962.87 = 449.03/x
  3. Step 3: Cross multiply
    697.70x = 962.87 × 449.03
  4. Step 4: Simplify right side
    697.70x = 432,350.46
  5. Step 5: Solve for x
    x = 432,350.46/697.70
  6. Step 6: Final answer
    x = 619.68

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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.