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Finding the Fourth Proportional to 486.94, 672.15 and 408.10

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Solution

The fourth proportional to 486.94, 672.15 and 408.10 is: 563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.94 : 672.15 = 408.10 : x
  2. Step 2: Convert to fraction form
    486.94/672.15 = 408.10/x
  3. Step 3: Cross multiply
    486.94x = 672.15 × 408.10
  4. Step 4: Simplify right side
    486.94x = 274,304.42
  5. Step 5: Solve for x
    x = 274,304.42/486.94
  6. Step 6: Final answer
    x = 563.32

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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.