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Finding the Fourth Proportional to 549.10, 822.45 and 488.30

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Solution

The fourth proportional to 549.10, 822.45 and 488.30 is: 731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.10 : 822.45 = 488.30 : x
  2. Step 2: Convert to fraction form
    549.10/822.45 = 488.30/x
  3. Step 3: Cross multiply
    549.10x = 822.45 × 488.30
  4. Step 4: Simplify right side
    549.10x = 401,602.34
  5. Step 5: Solve for x
    x = 401,602.34/549.10
  6. Step 6: Final answer
    x = 731.38

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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.