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Finding the Fourth Proportional to 549.36, 819.54 and 502.20

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Solution

The fourth proportional to 549.36, 819.54 and 502.20 is: 749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 819.54 = 502.20 : x
  2. Step 2: Convert to fraction form
    549.36/819.54 = 502.20/x
  3. Step 3: Cross multiply
    549.36x = 819.54 × 502.20
  4. Step 4: Simplify right side
    549.36x = 411,572.99
  5. Step 5: Solve for x
    x = 411,572.99/549.36
  6. Step 6: Final answer
    x = 749.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.