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Finding the Fourth Proportional to 767.89, 1,149.63 and 591.94

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Solution

The fourth proportional to 767.89, 1,149.63 and 591.94 is: 886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.89 : 1,149.63 = 591.94 : x
  2. Step 2: Convert to fraction form
    767.89/1,149.63 = 591.94/x
  3. Step 3: Cross multiply
    767.89x = 1,149.63 × 591.94
  4. Step 4: Simplify right side
    767.89x = 680,511.98
  5. Step 5: Solve for x
    x = 680,511.98/767.89
  6. Step 6: Final answer
    x = 886.21

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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.