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Finding the Fourth Proportional to 549.85, 823.16 and 406.21

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Solution

The fourth proportional to 549.85, 823.16 and 406.21 is: 608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.85 : 823.16 = 406.21 : x
  2. Step 2: Convert to fraction form
    549.85/823.16 = 406.21/x
  3. Step 3: Cross multiply
    549.85x = 823.16 × 406.21
  4. Step 4: Simplify right side
    549.85x = 334,373.79
  5. Step 5: Solve for x
    x = 334,373.79/549.85
  6. Step 6: Final answer
    x = 608.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.