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Finding the Fourth Proportional to 467.46, 643.76 and 408.42

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Solution

The fourth proportional to 467.46, 643.76 and 408.42 is: 562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.46 : 643.76 = 408.42 : x
  2. Step 2: Convert to fraction form
    467.46/643.76 = 408.42/x
  3. Step 3: Cross multiply
    467.46x = 643.76 × 408.42
  4. Step 4: Simplify right side
    467.46x = 262,924.46
  5. Step 5: Solve for x
    x = 262,924.46/467.46
  6. Step 6: Final answer
    x = 562.45

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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.