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Finding the Fourth Proportional to 737.31, 1,017.36 and 541.29

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Solution

The fourth proportional to 737.31, 1,017.36 and 541.29 is: 746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.31 : 1,017.36 = 541.29 : x
  2. Step 2: Convert to fraction form
    737.31/1,017.36 = 541.29/x
  3. Step 3: Cross multiply
    737.31x = 1,017.36 × 541.29
  4. Step 4: Simplify right side
    737.31x = 550,684.09
  5. Step 5: Solve for x
    x = 550,684.09/737.31
  6. Step 6: Final answer
    x = 746.88

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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.