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Finding the Fourth Proportional to 1,727.59, 2,589.92 and 688.33

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Solution

The fourth proportional to 1,727.59, 2,589.92 and 688.33 is: 1,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.59 : 2,589.92 = 688.33 : x
  2. Step 2: Convert to fraction form
    1,727.59/2,589.92 = 688.33/x
  3. Step 3: Cross multiply
    1,727.59x = 2,589.92 × 688.33
  4. Step 4: Simplify right side
    1,727.59x = 1,782,719.63
  5. Step 5: Solve for x
    x = 1,782,719.63/1,727.59
  6. Step 6: Final answer
    x = 1,031.91

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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.