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Finding the Fourth Proportional to 1,123.40, 1,549.45 and 750.26

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Solution

The fourth proportional to 1,123.40, 1,549.45 and 750.26 is: 1,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 1,549.45 = 750.26 : x
  2. Step 2: Convert to fraction form
    1,123.40/1,549.45 = 750.26/x
  3. Step 3: Cross multiply
    1,123.40x = 1,549.45 × 750.26
  4. Step 4: Simplify right side
    1,123.40x = 1,162,490.36
  5. Step 5: Solve for x
    x = 1,162,490.36/1,123.40
  6. Step 6: Final answer
    x = 1,034.80

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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.