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Finding the Fourth Proportional to 968.20, 1,444.15 and 879.51

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Solution

The fourth proportional to 968.20, 1,444.15 and 879.51 is: 1,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,444.15 = 879.51 : x
  2. Step 2: Convert to fraction form
    968.20/1,444.15 = 879.51/x
  3. Step 3: Cross multiply
    968.20x = 1,444.15 × 879.51
  4. Step 4: Simplify right side
    968.20x = 1,270,132.75
  5. Step 5: Solve for x
    x = 1,270,132.75/968.20
  6. Step 6: Final answer
    x = 1,311.86

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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.