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Finding the Fourth Proportional to 750.05, 1,125.24 and 288.05

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Solution

The fourth proportional to 750.05, 1,125.24 and 288.05 is: 432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.05 : 1,125.24 = 288.05 : x
  2. Step 2: Convert to fraction form
    750.05/1,125.24 = 288.05/x
  3. Step 3: Cross multiply
    750.05x = 1,125.24 × 288.05
  4. Step 4: Simplify right side
    750.05x = 324,119.76
  5. Step 5: Solve for x
    x = 324,119.76/750.05
  6. Step 6: Final answer
    x = 432.13

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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.