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Finding the Fourth Proportional to 674.70, 1,006.29 and 663.00

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Solution

The fourth proportional to 674.70, 1,006.29 and 663.00 is: 988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.70 : 1,006.29 = 663.00 : x
  2. Step 2: Convert to fraction form
    674.70/1,006.29 = 663.00/x
  3. Step 3: Cross multiply
    674.70x = 1,006.29 × 663.00
  4. Step 4: Simplify right side
    674.70x = 667,172.16
  5. Step 5: Solve for x
    x = 667,172.16/674.70
  6. Step 6: Final answer
    x = 988.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.