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Finding the Fourth Proportional to 549.50, 823.16 and 395.06

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Solution

The fourth proportional to 549.50, 823.16 and 395.06 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 823.16 = 395.06 : x
  2. Step 2: Convert to fraction form
    549.50/823.16 = 395.06/x
  3. Step 3: Cross multiply
    549.50x = 823.16 × 395.06
  4. Step 4: Simplify right side
    549.50x = 325,194.46
  5. Step 5: Solve for x
    x = 325,194.46/549.50
  6. Step 6: Final answer
    x = 591.81

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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.