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Finding the Fourth Proportional to 750.80, 1,126.08 and 311.76

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Solution

The fourth proportional to 750.80, 1,126.08 and 311.76 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.80 : 1,126.08 = 311.76 : x
  2. Step 2: Convert to fraction form
    750.80/1,126.08 = 311.76/x
  3. Step 3: Cross multiply
    750.80x = 1,126.08 × 311.76
  4. Step 4: Simplify right side
    750.80x = 351,066.70
  5. Step 5: Solve for x
    x = 351,066.70/750.80
  6. Step 6: Final answer
    x = 467.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.