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Finding the Fourth Proportional to 741.72, 1,111.97 and 432.81

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Solution

The fourth proportional to 741.72, 1,111.97 and 432.81 is: 648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,111.97 = 432.81 : x
  2. Step 2: Convert to fraction form
    741.72/1,111.97 = 432.81/x
  3. Step 3: Cross multiply
    741.72x = 1,111.97 × 432.81
  4. Step 4: Simplify right side
    741.72x = 481,271.74
  5. Step 5: Solve for x
    x = 481,271.74/741.72
  6. Step 6: Final answer
    x = 648.86

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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.