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Finding the Fourth Proportional to 767.67, 1,053.56 and 693.85

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Solution

The fourth proportional to 767.67, 1,053.56 and 693.85 is: 952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.67 : 1,053.56 = 693.85 : x
  2. Step 2: Convert to fraction form
    767.67/1,053.56 = 693.85/x
  3. Step 3: Cross multiply
    767.67x = 1,053.56 × 693.85
  4. Step 4: Simplify right side
    767.67x = 731,012.61
  5. Step 5: Solve for x
    x = 731,012.61/767.67
  6. Step 6: Final answer
    x = 952.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.