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Finding the Fourth Proportional to 814.97, 1,123.40 and 648.92

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Solution

The fourth proportional to 814.97, 1,123.40 and 648.92 is: 894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.97 : 1,123.40 = 648.92 : x
  2. Step 2: Convert to fraction form
    814.97/1,123.40 = 648.92/x
  3. Step 3: Cross multiply
    814.97x = 1,123.40 × 648.92
  4. Step 4: Simplify right side
    814.97x = 729,001.16
  5. Step 5: Solve for x
    x = 729,001.16/814.97
  6. Step 6: Final answer
    x = 894.51

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Double scale
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1.5x scale

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.