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Finding the Fourth Proportional to 549.90, 823.24 and 289.28

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Solution

The fourth proportional to 549.90, 823.24 and 289.28 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 823.24 = 289.28 : x
  2. Step 2: Convert to fraction form
    549.90/823.24 = 289.28/x
  3. Step 3: Cross multiply
    549.90x = 823.24 × 289.28
  4. Step 4: Simplify right side
    549.90x = 238,146.87
  5. Step 5: Solve for x
    x = 238,146.87/549.90
  6. Step 6: Final answer
    x = 433.07

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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.