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Finding the Fourth Proportional to 886, 1,319.64 and 839.74

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Solution

The fourth proportional to 886, 1,319.64 and 839.74 is: 1,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    886 : 1,319.64 = 839.74 : x
  2. Step 2: Convert to fraction form
    886/1,319.64 = 839.74/x
  3. Step 3: Cross multiply
    886x = 1,319.64 × 839.74
  4. Step 4: Simplify right side
    886x = 1,108,154.49
  5. Step 5: Solve for x
    x = 1,108,154.49/886
  6. Step 6: Final answer
    x = 1,250.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.