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Finding the Fourth Proportional to 467.34, 644.82 and 405.08

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Solution

The fourth proportional to 467.34, 644.82 and 405.08 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.34 : 644.82 = 405.08 : x
  2. Step 2: Convert to fraction form
    467.34/644.82 = 405.08/x
  3. Step 3: Cross multiply
    467.34x = 644.82 × 405.08
  4. Step 4: Simplify right side
    467.34x = 261,200.46
  5. Step 5: Solve for x
    x = 261,200.46/467.34
  6. Step 6: Final answer
    x = 558.91

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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.