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Finding the Fourth Proportional to 770.78, 1,062.56 and 549.66

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Solution

The fourth proportional to 770.78, 1,062.56 and 549.66 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.78 : 1,062.56 = 549.66 : x
  2. Step 2: Convert to fraction form
    770.78/1,062.56 = 549.66/x
  3. Step 3: Cross multiply
    770.78x = 1,062.56 × 549.66
  4. Step 4: Simplify right side
    770.78x = 584,046.73
  5. Step 5: Solve for x
    x = 584,046.73/770.78
  6. Step 6: Final answer
    x = 757.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.