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Finding the Fourth Proportional to 1,142.95, 1,575.11 and 827.68

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Solution

The fourth proportional to 1,142.95, 1,575.11 and 827.68 is: 1,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.95 : 1,575.11 = 827.68 : x
  2. Step 2: Convert to fraction form
    1,142.95/1,575.11 = 827.68/x
  3. Step 3: Cross multiply
    1,142.95x = 1,575.11 × 827.68
  4. Step 4: Simplify right side
    1,142.95x = 1,303,687.04
  5. Step 5: Solve for x
    x = 1,303,687.04/1,142.95
  6. Step 6: Final answer
    x = 1,140.63

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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.