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Finding the Fourth Proportional to 1,123.47, 1,550.16 and 874.80

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Solution

The fourth proportional to 1,123.47, 1,550.16 and 874.80 is: 1,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.47 : 1,550.16 = 874.80 : x
  2. Step 2: Convert to fraction form
    1,123.47/1,550.16 = 874.80/x
  3. Step 3: Cross multiply
    1,123.47x = 1,550.16 × 874.80
  4. Step 4: Simplify right side
    1,123.47x = 1,356,079.97
  5. Step 5: Solve for x
    x = 1,356,079.97/1,123.47
  6. Step 6: Final answer
    x = 1,207.05

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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.