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Finding the Fourth Proportional to 433.85, 599.45 and 409.95

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Solution

The fourth proportional to 433.85, 599.45 and 409.95 is: 566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.85 : 599.45 = 409.95 : x
  2. Step 2: Convert to fraction form
    433.85/599.45 = 409.95/x
  3. Step 3: Cross multiply
    433.85x = 599.45 × 409.95
  4. Step 4: Simplify right side
    433.85x = 245,742.48
  5. Step 5: Solve for x
    x = 245,742.48/433.85
  6. Step 6: Final answer
    x = 566.43

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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.