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Finding the Fourth Proportional to 747.65, 1,121.47 and 540.29

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Solution

The fourth proportional to 747.65, 1,121.47 and 540.29 is: 810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.65 : 1,121.47 = 540.29 : x
  2. Step 2: Convert to fraction form
    747.65/1,121.47 = 540.29/x
  3. Step 3: Cross multiply
    747.65x = 1,121.47 × 540.29
  4. Step 4: Simplify right side
    747.65x = 605,912.07
  5. Step 5: Solve for x
    x = 605,912.07/747.65
  6. Step 6: Final answer
    x = 810.43

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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.