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Finding the Fourth Proportional to 1,248.63, 1,722.66 and 829.18

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Solution

The fourth proportional to 1,248.63, 1,722.66 and 829.18 is: 1,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.63 : 1,722.66 = 829.18 : x
  2. Step 2: Convert to fraction form
    1,248.63/1,722.66 = 829.18/x
  3. Step 3: Cross multiply
    1,248.63x = 1,722.66 × 829.18
  4. Step 4: Simplify right side
    1,248.63x = 1,428,395.22
  5. Step 5: Solve for x
    x = 1,428,395.22/1,248.63
  6. Step 6: Final answer
    x = 1,143.97

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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.