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Finding the Fourth Proportional to 750.72, 1,125.06 and 288.06

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Solution

The fourth proportional to 750.72, 1,125.06 and 288.06 is: 431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.72 : 1,125.06 = 288.06 : x
  2. Step 2: Convert to fraction form
    750.72/1,125.06 = 288.06/x
  3. Step 3: Cross multiply
    750.72x = 1,125.06 × 288.06
  4. Step 4: Simplify right side
    750.72x = 324,084.78
  5. Step 5: Solve for x
    x = 324,084.78/750.72
  6. Step 6: Final answer
    x = 431.70

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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.