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Finding the Fourth Proportional to 1,123.68, 1,552.07 and 793.58

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Solution

The fourth proportional to 1,123.68, 1,552.07 and 793.58 is: 1,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.68 : 1,552.07 = 793.58 : x
  2. Step 2: Convert to fraction form
    1,123.68/1,552.07 = 793.58/x
  3. Step 3: Cross multiply
    1,123.68x = 1,552.07 × 793.58
  4. Step 4: Simplify right side
    1,123.68x = 1,231,687.74
  5. Step 5: Solve for x
    x = 1,231,687.74/1,123.68
  6. Step 6: Final answer
    x = 1,096.12

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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.