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Finding the Fourth Proportional to 857.97, 1,288.40 and 743.18

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Solution

The fourth proportional to 857.97, 1,288.40 and 743.18 is: 1,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.97 : 1,288.40 = 743.18 : x
  2. Step 2: Convert to fraction form
    857.97/1,288.40 = 743.18/x
  3. Step 3: Cross multiply
    857.97x = 1,288.40 × 743.18
  4. Step 4: Simplify right side
    857.97x = 957,502.95
  5. Step 5: Solve for x
    x = 957,502.95/857.97
  6. Step 6: Final answer
    x = 1,116.01

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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.