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Finding the Fourth Proportional to 2,879.17, 4,318.85 and 770.77

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Solution

The fourth proportional to 2,879.17, 4,318.85 and 770.77 is: 1,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.17 : 4,318.85 = 770.77 : x
  2. Step 2: Convert to fraction form
    2,879.17/4,318.85 = 770.77/x
  3. Step 3: Cross multiply
    2,879.17x = 4,318.85 × 770.77
  4. Step 4: Simplify right side
    2,879.17x = 3,328,840.01
  5. Step 5: Solve for x
    x = 3,328,840.01/2,879.17
  6. Step 6: Final answer
    x = 1,156.18

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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.