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Finding the Fourth Proportional to 814.82, 1,124.70 and 650.17

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Solution

The fourth proportional to 814.82, 1,124.70 and 650.17 is: 897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.82 : 1,124.70 = 650.17 : x
  2. Step 2: Convert to fraction form
    814.82/1,124.70 = 650.17/x
  3. Step 3: Cross multiply
    814.82x = 1,124.70 × 650.17
  4. Step 4: Simplify right side
    814.82x = 731,240.58
  5. Step 5: Solve for x
    x = 731,240.58/814.82
  6. Step 6: Final answer
    x = 897.43

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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.