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Finding the Fourth Proportional to 1,755.81, 2,632.83 and 585.41

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Solution

The fourth proportional to 1,755.81, 2,632.83 and 585.41 is: 877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.81 : 2,632.83 = 585.41 : x
  2. Step 2: Convert to fraction form
    1,755.81/2,632.83 = 585.41/x
  3. Step 3: Cross multiply
    1,755.81x = 2,632.83 × 585.41
  4. Step 4: Simplify right side
    1,755.81x = 1,541,271.85
  5. Step 5: Solve for x
    x = 1,541,271.85/1,755.81
  6. Step 6: Final answer
    x = 877.81

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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.