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Finding the Fourth Proportional to 751.06, 1,125.81 and 288.72

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Solution

The fourth proportional to 751.06, 1,125.81 and 288.72 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.06 : 1,125.81 = 288.72 : x
  2. Step 2: Convert to fraction form
    751.06/1,125.81 = 288.72/x
  3. Step 3: Cross multiply
    751.06x = 1,125.81 × 288.72
  4. Step 4: Simplify right side
    751.06x = 325,040.72
  5. Step 5: Solve for x
    x = 325,040.72/751.06
  6. Step 6: Final answer
    x = 432.78

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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.