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Finding the Fourth Proportional to 549.16, 818.96 and 512.26

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Solution

The fourth proportional to 549.16, 818.96 and 512.26 is: 763.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 818.96 = 512.26 : x
  2. Step 2: Convert to fraction form
    549.16/818.96 = 512.26/x
  3. Step 3: Cross multiply
    549.16x = 818.96 × 512.26
  4. Step 4: Simplify right side
    549.16x = 419,520.45
  5. Step 5: Solve for x
    x = 419,520.45/549.16
  6. Step 6: Final answer
    x = 763.93

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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.