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Finding the Fourth Proportional to 1,224.69, 1,689.96 and 782.43

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Solution

The fourth proportional to 1,224.69, 1,689.96 and 782.43 is: 1,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.69 : 1,689.96 = 782.43 : x
  2. Step 2: Convert to fraction form
    1,224.69/1,689.96 = 782.43/x
  3. Step 3: Cross multiply
    1,224.69x = 1,689.96 × 782.43
  4. Step 4: Simplify right side
    1,224.69x = 1,322,275.40
  5. Step 5: Solve for x
    x = 1,322,275.40/1,224.69
  6. Step 6: Final answer
    x = 1,079.68

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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.