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Finding the Fourth Proportional to 1,034.55, 1,431.37 and 876.68

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Solution

The fourth proportional to 1,034.55, 1,431.37 and 876.68 is: 1,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.55 : 1,431.37 = 876.68 : x
  2. Step 2: Convert to fraction form
    1,034.55/1,431.37 = 876.68/x
  3. Step 3: Cross multiply
    1,034.55x = 1,431.37 × 876.68
  4. Step 4: Simplify right side
    1,034.55x = 1,254,856.54
  5. Step 5: Solve for x
    x = 1,254,856.54/1,034.55
  6. Step 6: Final answer
    x = 1,212.95

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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.