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Finding the Fourth Proportional to 750.45, 1,125.69 and 288.27

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Solution

The fourth proportional to 750.45, 1,125.69 and 288.27 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.45 : 1,125.69 = 288.27 : x
  2. Step 2: Convert to fraction form
    750.45/1,125.69 = 288.27/x
  3. Step 3: Cross multiply
    750.45x = 1,125.69 × 288.27
  4. Step 4: Simplify right side
    750.45x = 324,502.66
  5. Step 5: Solve for x
    x = 324,502.66/750.45
  6. Step 6: Final answer
    x = 432.41

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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.