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Finding the Fourth Proportional to 767.35, 1,149.87 and 689.89

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Solution

The fourth proportional to 767.35, 1,149.87 and 689.89 is: 1,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.35 : 1,149.87 = 689.89 : x
  2. Step 2: Convert to fraction form
    767.35/1,149.87 = 689.89/x
  3. Step 3: Cross multiply
    767.35x = 1,149.87 × 689.89
  4. Step 4: Simplify right side
    767.35x = 793,283.81
  5. Step 5: Solve for x
    x = 793,283.81/767.35
  6. Step 6: Final answer
    x = 1,033.80

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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.