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Finding the Fourth Proportional to 757.70, 1,046.07 and 492.22

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Solution

The fourth proportional to 757.70, 1,046.07 and 492.22 is: 679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.70 : 1,046.07 = 492.22 : x
  2. Step 2: Convert to fraction form
    757.70/1,046.07 = 492.22/x
  3. Step 3: Cross multiply
    757.70x = 1,046.07 × 492.22
  4. Step 4: Simplify right side
    757.70x = 514,896.58
  5. Step 5: Solve for x
    x = 514,896.58/757.70
  6. Step 6: Final answer
    x = 679.55

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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.