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Finding the Fourth Proportional to 1,761.17, 2,642.17 and 591.33

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Solution

The fourth proportional to 1,761.17, 2,642.17 and 591.33 is: 887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.17 : 2,642.17 = 591.33 : x
  2. Step 2: Convert to fraction form
    1,761.17/2,642.17 = 591.33/x
  3. Step 3: Cross multiply
    1,761.17x = 2,642.17 × 591.33
  4. Step 4: Simplify right side
    1,761.17x = 1,562,392.91
  5. Step 5: Solve for x
    x = 1,562,392.91/1,761.17
  6. Step 6: Final answer
    x = 887.13

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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.