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Finding the Fourth Proportional to 467, 644.20 and 411.56

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Solution

The fourth proportional to 467, 644.20 and 411.56 is: 567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467 : 644.20 = 411.56 : x
  2. Step 2: Convert to fraction form
    467/644.20 = 411.56/x
  3. Step 3: Cross multiply
    467x = 644.20 × 411.56
  4. Step 4: Simplify right side
    467x = 265,126.95
  5. Step 5: Solve for x
    x = 265,126.95/467
  6. Step 6: Final answer
    x = 567.72

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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.