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Finding the Fourth Proportional to 426.46, 643.56 and 411.98

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Solution

The fourth proportional to 426.46, 643.56 and 411.98 is: 621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 643.56 = 411.98 : x
  2. Step 2: Convert to fraction form
    426.46/643.56 = 411.98/x
  3. Step 3: Cross multiply
    426.46x = 643.56 × 411.98
  4. Step 4: Simplify right side
    426.46x = 265,133.85
  5. Step 5: Solve for x
    x = 265,133.85/426.46
  6. Step 6: Final answer
    x = 621.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.