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Finding the Fourth Proportional to 1,292.07, 1,781.96 and 872.31

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Solution

The fourth proportional to 1,292.07, 1,781.96 and 872.31 is: 1,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.07 : 1,781.96 = 872.31 : x
  2. Step 2: Convert to fraction form
    1,292.07/1,781.96 = 872.31/x
  3. Step 3: Cross multiply
    1,292.07x = 1,781.96 × 872.31
  4. Step 4: Simplify right side
    1,292.07x = 1,554,417.17
  5. Step 5: Solve for x
    x = 1,554,417.17/1,292.07
  6. Step 6: Final answer
    x = 1,203.04

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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.