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Finding the Fourth Proportional to 494.86, 741.38 and 433.80

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Solution

The fourth proportional to 494.86, 741.38 and 433.80 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.86 : 741.38 = 433.80 : x
  2. Step 2: Convert to fraction form
    494.86/741.38 = 433.80/x
  3. Step 3: Cross multiply
    494.86x = 741.38 × 433.80
  4. Step 4: Simplify right side
    494.86x = 321,610.64
  5. Step 5: Solve for x
    x = 321,610.64/494.86
  6. Step 6: Final answer
    x = 649.90

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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.