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Finding the Fourth Proportional to 1,731.77, 2,596.02 and 806.84

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Solution

The fourth proportional to 1,731.77, 2,596.02 and 806.84 is: 1,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.77 : 2,596.02 = 806.84 : x
  2. Step 2: Convert to fraction form
    1,731.77/2,596.02 = 806.84/x
  3. Step 3: Cross multiply
    1,731.77x = 2,596.02 × 806.84
  4. Step 4: Simplify right side
    1,731.77x = 2,094,572.78
  5. Step 5: Solve for x
    x = 2,094,572.78/1,731.77
  6. Step 6: Final answer
    x = 1,209.50

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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.