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Finding the Fourth Proportional to 741.20, 1,110.19 and 432.75

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Solution

The fourth proportional to 741.20, 1,110.19 and 432.75 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.20 : 1,110.19 = 432.75 : x
  2. Step 2: Convert to fraction form
    741.20/1,110.19 = 432.75/x
  3. Step 3: Cross multiply
    741.20x = 1,110.19 × 432.75
  4. Step 4: Simplify right side
    741.20x = 480,434.72
  5. Step 5: Solve for x
    x = 480,434.72/741.20
  6. Step 6: Final answer
    x = 648.19

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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.