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Finding the Fourth Proportional to 1,764.93, 2,648.25 and 725.70

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Solution

The fourth proportional to 1,764.93, 2,648.25 and 725.70 is: 1,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.93 : 2,648.25 = 725.70 : x
  2. Step 2: Convert to fraction form
    1,764.93/2,648.25 = 725.70/x
  3. Step 3: Cross multiply
    1,764.93x = 2,648.25 × 725.70
  4. Step 4: Simplify right side
    1,764.93x = 1,921,835.03
  5. Step 5: Solve for x
    x = 1,921,835.03/1,764.93
  6. Step 6: Final answer
    x = 1,088.90

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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.