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Finding the Fourth Proportional to 1,123.84, 1,550.02 and 997.93

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Solution

The fourth proportional to 1,123.84, 1,550.02 and 997.93 is: 1,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.84 : 1,550.02 = 997.93 : x
  2. Step 2: Convert to fraction form
    1,123.84/1,550.02 = 997.93/x
  3. Step 3: Cross multiply
    1,123.84x = 1,550.02 × 997.93
  4. Step 4: Simplify right side
    1,123.84x = 1,546,811.46
  5. Step 5: Solve for x
    x = 1,546,811.46/1,123.84
  6. Step 6: Final answer
    x = 1,376.36

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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.