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Finding the Fourth Proportional to 549.04, 819.73 and 490.72

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Solution

The fourth proportional to 549.04, 819.73 and 490.72 is: 732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.04 : 819.73 = 490.72 : x
  2. Step 2: Convert to fraction form
    549.04/819.73 = 490.72/x
  3. Step 3: Cross multiply
    549.04x = 819.73 × 490.72
  4. Step 4: Simplify right side
    549.04x = 402,257.91
  5. Step 5: Solve for x
    x = 402,257.91/549.04
  6. Step 6: Final answer
    x = 732.66

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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.