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Finding the Fourth Proportional to 857.12, 1,182.72 and 546.56

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Solution

The fourth proportional to 857.12, 1,182.72 and 546.56 is: 754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.12 : 1,182.72 = 546.56 : x
  2. Step 2: Convert to fraction form
    857.12/1,182.72 = 546.56/x
  3. Step 3: Cross multiply
    857.12x = 1,182.72 × 546.56
  4. Step 4: Simplify right side
    857.12x = 646,427.44
  5. Step 5: Solve for x
    x = 646,427.44/857.12
  6. Step 6: Final answer
    x = 754.19

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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.