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Finding the Fourth Proportional to 697.98, 963.40 and 488.20

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Solution

The fourth proportional to 697.98, 963.40 and 488.20 is: 673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 963.40 = 488.20 : x
  2. Step 2: Convert to fraction form
    697.98/963.40 = 488.20/x
  3. Step 3: Cross multiply
    697.98x = 963.40 × 488.20
  4. Step 4: Simplify right side
    697.98x = 470,331.88
  5. Step 5: Solve for x
    x = 470,331.88/697.98
  6. Step 6: Final answer
    x = 673.85

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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.