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Finding the Fourth Proportional to 750.28, 1,126.24 and 311.84

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Solution

The fourth proportional to 750.28, 1,126.24 and 311.84 is: 468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.28 : 1,126.24 = 311.84 : x
  2. Step 2: Convert to fraction form
    750.28/1,126.24 = 311.84/x
  3. Step 3: Cross multiply
    750.28x = 1,126.24 × 311.84
  4. Step 4: Simplify right side
    750.28x = 351,206.68
  5. Step 5: Solve for x
    x = 351,206.68/750.28
  6. Step 6: Final answer
    x = 468.10

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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.