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Finding the Fourth Proportional to 857.59, 1,182.87 and 829.04

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Solution

The fourth proportional to 857.59, 1,182.87 and 829.04 is: 1,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.59 : 1,182.87 = 829.04 : x
  2. Step 2: Convert to fraction form
    857.59/1,182.87 = 829.04/x
  3. Step 3: Cross multiply
    857.59x = 1,182.87 × 829.04
  4. Step 4: Simplify right side
    857.59x = 980,640.63
  5. Step 5: Solve for x
    x = 980,640.63/857.59
  6. Step 6: Final answer
    x = 1,143.49

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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.