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Finding the Fourth Proportional to 2,264.76, 3,398.28 and 879

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Solution

The fourth proportional to 2,264.76, 3,398.28 and 879 is: 1,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.76 : 3,398.28 = 879 : x
  2. Step 2: Convert to fraction form
    2,264.76/3,398.28 = 879/x
  3. Step 3: Cross multiply
    2,264.76x = 3,398.28 × 879
  4. Step 4: Simplify right side
    2,264.76x = 2,987,088.12
  5. Step 5: Solve for x
    x = 2,987,088.12/2,264.76
  6. Step 6: Final answer
    x = 1,318.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.