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Finding the Fourth Proportional to 433.91, 599.07 and 387.20

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Solution

The fourth proportional to 433.91, 599.07 and 387.20 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 599.07 = 387.20 : x
  2. Step 2: Convert to fraction form
    433.91/599.07 = 387.20/x
  3. Step 3: Cross multiply
    433.91x = 599.07 × 387.20
  4. Step 4: Simplify right side
    433.91x = 231,959.66
  5. Step 5: Solve for x
    x = 231,959.66/433.91
  6. Step 6: Final answer
    x = 534.58

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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.