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Finding the Fourth Proportional to 750.86, 1,126.26 and 288.56

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Solution

The fourth proportional to 750.86, 1,126.26 and 288.56 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.86 : 1,126.26 = 288.56 : x
  2. Step 2: Convert to fraction form
    750.86/1,126.26 = 288.56/x
  3. Step 3: Cross multiply
    750.86x = 1,126.26 × 288.56
  4. Step 4: Simplify right side
    750.86x = 324,987.95
  5. Step 5: Solve for x
    x = 324,987.95/750.86
  6. Step 6: Final answer
    x = 432.82

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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.