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Finding the Fourth Proportional to 549.46, 820.43 and 468.26

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Solution

The fourth proportional to 549.46, 820.43 and 468.26 is: 699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 820.43 = 468.26 : x
  2. Step 2: Convert to fraction form
    549.46/820.43 = 468.26/x
  3. Step 3: Cross multiply
    549.46x = 820.43 × 468.26
  4. Step 4: Simplify right side
    549.46x = 384,172.21
  5. Step 5: Solve for x
    x = 384,172.21/549.46
  6. Step 6: Final answer
    x = 699.18

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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.