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Finding the Fourth Proportional to 1,755.05, 2,632.29 and 585.87

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Solution

The fourth proportional to 1,755.05, 2,632.29 and 585.87 is: 878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.05 : 2,632.29 = 585.87 : x
  2. Step 2: Convert to fraction form
    1,755.05/2,632.29 = 585.87/x
  3. Step 3: Cross multiply
    1,755.05x = 2,632.29 × 585.87
  4. Step 4: Simplify right side
    1,755.05x = 1,542,179.74
  5. Step 5: Solve for x
    x = 1,542,179.74/1,755.05
  6. Step 6: Final answer
    x = 878.71

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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.