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Finding the Fourth Proportional to 741.26, 1,023.06 and 520.54

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Solution

The fourth proportional to 741.26, 1,023.06 and 520.54 is: 718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,023.06 = 520.54 : x
  2. Step 2: Convert to fraction form
    741.26/1,023.06 = 520.54/x
  3. Step 3: Cross multiply
    741.26x = 1,023.06 × 520.54
  4. Step 4: Simplify right side
    741.26x = 532,543.65
  5. Step 5: Solve for x
    x = 532,543.65/741.26
  6. Step 6: Final answer
    x = 718.43

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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.