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Finding the Fourth Proportional to 1,022.40, 1,534.80 and 658.70

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Solution

The fourth proportional to 1,022.40, 1,534.80 and 658.70 is: 988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,534.80 = 658.70 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,534.80 = 658.70/x
  3. Step 3: Cross multiply
    1,022.40x = 1,534.80 × 658.70
  4. Step 4: Simplify right side
    1,022.40x = 1,010,972.76
  5. Step 5: Solve for x
    x = 1,010,972.76/1,022.40
  6. Step 6: Final answer
    x = 988.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.