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Finding the Fourth Proportional to 599.74, 827.99 and 433.78

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Solution

The fourth proportional to 599.74, 827.99 and 433.78 is: 598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.74 : 827.99 = 433.78 : x
  2. Step 2: Convert to fraction form
    599.74/827.99 = 433.78/x
  3. Step 3: Cross multiply
    599.74x = 827.99 × 433.78
  4. Step 4: Simplify right side
    599.74x = 359,162.45
  5. Step 5: Solve for x
    x = 359,162.45/599.74
  6. Step 6: Final answer
    x = 598.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.