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Finding the Fourth Proportional to 814.50, 1,120.14 and 646.74

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Solution

The fourth proportional to 814.50, 1,120.14 and 646.74 is: 889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.50 : 1,120.14 = 646.74 : x
  2. Step 2: Convert to fraction form
    814.50/1,120.14 = 646.74/x
  3. Step 3: Cross multiply
    814.50x = 1,120.14 × 646.74
  4. Step 4: Simplify right side
    814.50x = 724,439.34
  5. Step 5: Solve for x
    x = 724,439.34/814.50
  6. Step 6: Final answer
    x = 889.43

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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.