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Finding the Fourth Proportional to 557.27, 772.28 and 549.44

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Solution

The fourth proportional to 557.27, 772.28 and 549.44 is: 761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.27 : 772.28 = 549.44 : x
  2. Step 2: Convert to fraction form
    557.27/772.28 = 549.44/x
  3. Step 3: Cross multiply
    557.27x = 772.28 × 549.44
  4. Step 4: Simplify right side
    557.27x = 424,321.52
  5. Step 5: Solve for x
    x = 424,321.52/557.27
  6. Step 6: Final answer
    x = 761.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.