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Finding the Fourth Proportional to 741.72, 1,020.31 and 711.75

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Solution

The fourth proportional to 741.72, 1,020.31 and 711.75 is: 979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.72 : 1,020.31 = 711.75 : x
  2. Step 2: Convert to fraction form
    741.72/1,020.31 = 711.75/x
  3. Step 3: Cross multiply
    741.72x = 1,020.31 × 711.75
  4. Step 4: Simplify right side
    741.72x = 726,205.64
  5. Step 5: Solve for x
    x = 726,205.64/741.72
  6. Step 6: Final answer
    x = 979.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.