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Finding the Fourth Proportional to 1,761.77, 2,642.96 and 591.89

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Solution

The fourth proportional to 1,761.77, 2,642.96 and 591.89 is: 887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.77 : 2,642.96 = 591.89 : x
  2. Step 2: Convert to fraction form
    1,761.77/2,642.96 = 591.89/x
  3. Step 3: Cross multiply
    1,761.77x = 2,642.96 × 591.89
  4. Step 4: Simplify right side
    1,761.77x = 1,564,328.38
  5. Step 5: Solve for x
    x = 1,564,328.38/1,761.77
  6. Step 6: Final answer
    x = 887.93

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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.