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Finding the Fourth Proportional to 549.38, 822.15 and 375.23

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Solution

The fourth proportional to 549.38, 822.15 and 375.23 is: 561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.38 : 822.15 = 375.23 : x
  2. Step 2: Convert to fraction form
    549.38/822.15 = 375.23/x
  3. Step 3: Cross multiply
    549.38x = 822.15 × 375.23
  4. Step 4: Simplify right side
    549.38x = 308,497.40
  5. Step 5: Solve for x
    x = 308,497.40/549.38
  6. Step 6: Final answer
    x = 561.53

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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.