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Finding the Fourth Proportional to 2,725.66, 4,088.85 and 777.92

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Solution

The fourth proportional to 2,725.66, 4,088.85 and 777.92 is: 1,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.66 : 4,088.85 = 777.92 : x
  2. Step 2: Convert to fraction form
    2,725.66/4,088.85 = 777.92/x
  3. Step 3: Cross multiply
    2,725.66x = 4,088.85 × 777.92
  4. Step 4: Simplify right side
    2,725.66x = 3,180,774.83
  5. Step 5: Solve for x
    x = 3,180,774.83/2,725.66
  6. Step 6: Final answer
    x = 1,166.97

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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.