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Finding the Fourth Proportional to 549.90, 758.70 and 493.20

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Solution

The fourth proportional to 549.90, 758.70 and 493.20 is: 680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 758.70 = 493.20 : x
  2. Step 2: Convert to fraction form
    549.90/758.70 = 493.20/x
  3. Step 3: Cross multiply
    549.90x = 758.70 × 493.20
  4. Step 4: Simplify right side
    549.90x = 374,190.84
  5. Step 5: Solve for x
    x = 374,190.84/549.90
  6. Step 6: Final answer
    x = 680.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.