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Finding the Fourth Proportional to 2,725.54, 4,088.95 and 777.69

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Solution

The fourth proportional to 2,725.54, 4,088.95 and 777.69 is: 1,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.54 : 4,088.95 = 777.69 : x
  2. Step 2: Convert to fraction form
    2,725.54/4,088.95 = 777.69/x
  3. Step 3: Cross multiply
    2,725.54x = 4,088.95 × 777.69
  4. Step 4: Simplify right side
    2,725.54x = 3,179,933.58
  5. Step 5: Solve for x
    x = 3,179,933.58/2,725.54
  6. Step 6: Final answer
    x = 1,166.72

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1.5x scale

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.