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Finding the Fourth Proportional to 549.08, 756.35 and 493.73

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Solution

The fourth proportional to 549.08, 756.35 and 493.73 is: 680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.08 : 756.35 = 493.73 : x
  2. Step 2: Convert to fraction form
    549.08/756.35 = 493.73/x
  3. Step 3: Cross multiply
    549.08x = 756.35 × 493.73
  4. Step 4: Simplify right side
    549.08x = 373,426.44
  5. Step 5: Solve for x
    x = 373,426.44/549.08
  6. Step 6: Final answer
    x = 680.10

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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.