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Finding the Fourth Proportional to 815.31, 1,123.09 and 773.62

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Solution

The fourth proportional to 815.31, 1,123.09 and 773.62 is: 1,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.31 : 1,123.09 = 773.62 : x
  2. Step 2: Convert to fraction form
    815.31/1,123.09 = 773.62/x
  3. Step 3: Cross multiply
    815.31x = 1,123.09 × 773.62
  4. Step 4: Simplify right side
    815.31x = 868,840.14
  5. Step 5: Solve for x
    x = 868,840.14/815.31
  6. Step 6: Final answer
    x = 1,065.66

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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.