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Finding the Fourth Proportional to 1,248.11, 1,722.95 and 806.23

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Solution

The fourth proportional to 1,248.11, 1,722.95 and 806.23 is: 1,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.11 : 1,722.95 = 806.23 : x
  2. Step 2: Convert to fraction form
    1,248.11/1,722.95 = 806.23/x
  3. Step 3: Cross multiply
    1,248.11x = 1,722.95 × 806.23
  4. Step 4: Simplify right side
    1,248.11x = 1,389,095.12
  5. Step 5: Solve for x
    x = 1,389,095.12/1,248.11
  6. Step 6: Final answer
    x = 1,112.96

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1.5x scale

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.