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Finding the Fourth Proportional to 549.99, 823.77 and 433.82

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Solution

The fourth proportional to 549.99, 823.77 and 433.82 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.99 : 823.77 = 433.82 : x
  2. Step 2: Convert to fraction form
    549.99/823.77 = 433.82/x
  3. Step 3: Cross multiply
    549.99x = 823.77 × 433.82
  4. Step 4: Simplify right side
    549.99x = 357,369.96
  5. Step 5: Solve for x
    x = 357,369.96/549.99
  6. Step 6: Final answer
    x = 649.78

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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.