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Finding the Fourth Proportional to 826.81, 1,140.39 and 547.28

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Solution

The fourth proportional to 826.81, 1,140.39 and 547.28 is: 754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.81 : 1,140.39 = 547.28 : x
  2. Step 2: Convert to fraction form
    826.81/1,140.39 = 547.28/x
  3. Step 3: Cross multiply
    826.81x = 1,140.39 × 547.28
  4. Step 4: Simplify right side
    826.81x = 624,117.54
  5. Step 5: Solve for x
    x = 624,117.54/826.81
  6. Step 6: Final answer
    x = 754.85

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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.