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Finding the Fourth Proportional to 1,243.71, 1,865.49 and 694.66

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Solution

The fourth proportional to 1,243.71, 1,865.49 and 694.66 is: 1,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.71 : 1,865.49 = 694.66 : x
  2. Step 2: Convert to fraction form
    1,243.71/1,865.49 = 694.66/x
  3. Step 3: Cross multiply
    1,243.71x = 1,865.49 × 694.66
  4. Step 4: Simplify right side
    1,243.71x = 1,295,881.28
  5. Step 5: Solve for x
    x = 1,295,881.28/1,243.71
  6. Step 6: Final answer
    x = 1,041.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.