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Finding the Fourth Proportional to 1,065.75, 1,470.67 and 686.97

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Solution

The fourth proportional to 1,065.75, 1,470.67 and 686.97 is: 947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.75 : 1,470.67 = 686.97 : x
  2. Step 2: Convert to fraction form
    1,065.75/1,470.67 = 686.97/x
  3. Step 3: Cross multiply
    1,065.75x = 1,470.67 × 686.97
  4. Step 4: Simplify right side
    1,065.75x = 1,010,306.17
  5. Step 5: Solve for x
    x = 1,010,306.17/1,065.75
  6. Step 6: Final answer
    x = 947.98

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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.