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Finding the Fourth Proportional to 874.56, 1,206.72 and 749.76

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Solution

The fourth proportional to 874.56, 1,206.72 and 749.76 is: 1,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.56 : 1,206.72 = 749.76 : x
  2. Step 2: Convert to fraction form
    874.56/1,206.72 = 749.76/x
  3. Step 3: Cross multiply
    874.56x = 1,206.72 × 749.76
  4. Step 4: Simplify right side
    874.56x = 904,750.39
  5. Step 5: Solve for x
    x = 904,750.39/874.56
  6. Step 6: Final answer
    x = 1,034.52

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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.