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Finding the Fourth Proportional to 549.48, 822.96 and 356.52

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Solution

The fourth proportional to 549.48, 822.96 and 356.52 is: 533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 822.96 = 356.52 : x
  2. Step 2: Convert to fraction form
    549.48/822.96 = 356.52/x
  3. Step 3: Cross multiply
    549.48x = 822.96 × 356.52
  4. Step 4: Simplify right side
    549.48x = 293,401.70
  5. Step 5: Solve for x
    x = 293,401.70/549.48
  6. Step 6: Final answer
    x = 533.96

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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.