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Finding the Fourth Proportional to 754.60, 1,123.44 and 751

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Solution

The fourth proportional to 754.60, 1,123.44 and 751 is: 1,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.60 : 1,123.44 = 751 : x
  2. Step 2: Convert to fraction form
    754.60/1,123.44 = 751/x
  3. Step 3: Cross multiply
    754.60x = 1,123.44 × 751
  4. Step 4: Simplify right side
    754.60x = 843,703.44
  5. Step 5: Solve for x
    x = 843,703.44/754.60
  6. Step 6: Final answer
    x = 1,118.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.