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Finding the Fourth Proportional to 1,761.76, 2,640.81 and 590.89

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Solution

The fourth proportional to 1,761.76, 2,640.81 and 590.89 is: 885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.76 : 2,640.81 = 590.89 : x
  2. Step 2: Convert to fraction form
    1,761.76/2,640.81 = 590.89/x
  3. Step 3: Cross multiply
    1,761.76x = 2,640.81 × 590.89
  4. Step 4: Simplify right side
    1,761.76x = 1,560,428.22
  5. Step 5: Solve for x
    x = 1,560,428.22/1,761.76
  6. Step 6: Final answer
    x = 885.72

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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.