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Finding the Fourth Proportional to 427.76, 642.12 and 411.92

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Solution

The fourth proportional to 427.76, 642.12 and 411.92 is: 618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.76 : 642.12 = 411.92 : x
  2. Step 2: Convert to fraction form
    427.76/642.12 = 411.92/x
  3. Step 3: Cross multiply
    427.76x = 642.12 × 411.92
  4. Step 4: Simplify right side
    427.76x = 264,502.07
  5. Step 5: Solve for x
    x = 264,502.07/427.76
  6. Step 6: Final answer
    x = 618.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.