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Finding the Fourth Proportional to 759.31, 1,048.19 and 546.82

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Solution

The fourth proportional to 759.31, 1,048.19 and 546.82 is: 754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.31 : 1,048.19 = 546.82 : x
  2. Step 2: Convert to fraction form
    759.31/1,048.19 = 546.82/x
  3. Step 3: Cross multiply
    759.31x = 1,048.19 × 546.82
  4. Step 4: Simplify right side
    759.31x = 573,171.26
  5. Step 5: Solve for x
    x = 573,171.26/759.31
  6. Step 6: Final answer
    x = 754.86

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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.