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Finding the Fourth Proportional to 757.77, 1,128.12 and 747.51

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Solution

The fourth proportional to 757.77, 1,128.12 and 747.51 is: 1,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.77 : 1,128.12 = 747.51 : x
  2. Step 2: Convert to fraction form
    757.77/1,128.12 = 747.51/x
  3. Step 3: Cross multiply
    757.77x = 1,128.12 × 747.51
  4. Step 4: Simplify right side
    757.77x = 843,280.98
  5. Step 5: Solve for x
    x = 843,280.98/757.77
  6. Step 6: Final answer
    x = 1,112.85

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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.