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Finding the Fourth Proportional to 1,039.59, 1,431.36 and 881.90

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Solution

The fourth proportional to 1,039.59, 1,431.36 and 881.90 is: 1,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.59 : 1,431.36 = 881.90 : x
  2. Step 2: Convert to fraction form
    1,039.59/1,431.36 = 881.90/x
  3. Step 3: Cross multiply
    1,039.59x = 1,431.36 × 881.90
  4. Step 4: Simplify right side
    1,039.59x = 1,262,309.23
  5. Step 5: Solve for x
    x = 1,262,309.23/1,039.59
  6. Step 6: Final answer
    x = 1,214.24

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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.