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Finding the Fourth Proportional to 757.94, 1,045.42 and 695.97

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Solution

The fourth proportional to 757.94, 1,045.42 and 695.97 is: 959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.94 : 1,045.42 = 695.97 : x
  2. Step 2: Convert to fraction form
    757.94/1,045.42 = 695.97/x
  3. Step 3: Cross multiply
    757.94x = 1,045.42 × 695.97
  4. Step 4: Simplify right side
    757.94x = 727,579.22
  5. Step 5: Solve for x
    x = 727,579.22/757.94
  6. Step 6: Final answer
    x = 959.95

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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.