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Finding the Fourth Proportional to 814.87, 1,123.19 and 637.52

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Solution

The fourth proportional to 814.87, 1,123.19 and 637.52 is: 878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.87 : 1,123.19 = 637.52 : x
  2. Step 2: Convert to fraction form
    814.87/1,123.19 = 637.52/x
  3. Step 3: Cross multiply
    814.87x = 1,123.19 × 637.52
  4. Step 4: Simplify right side
    814.87x = 716,056.09
  5. Step 5: Solve for x
    x = 716,056.09/814.87
  6. Step 6: Final answer
    x = 878.74

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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.