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Finding the Fourth Proportional to 825.92, 1,140.12 and 546.28

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Solution

The fourth proportional to 825.92, 1,140.12 and 546.28 is: 754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.92 : 1,140.12 = 546.28 : x
  2. Step 2: Convert to fraction form
    825.92/1,140.12 = 546.28/x
  3. Step 3: Cross multiply
    825.92x = 1,140.12 × 546.28
  4. Step 4: Simplify right side
    825.92x = 622,824.75
  5. Step 5: Solve for x
    x = 622,824.75/825.92
  6. Step 6: Final answer
    x = 754.10

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1.5x scale

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.