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Finding the Fourth Proportional to 431.76, 651.22 and 426.88

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Solution

The fourth proportional to 431.76, 651.22 and 426.88 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.76 : 651.22 = 426.88 : x
  2. Step 2: Convert to fraction form
    431.76/651.22 = 426.88/x
  3. Step 3: Cross multiply
    431.76x = 651.22 × 426.88
  4. Step 4: Simplify right side
    431.76x = 277,992.79
  5. Step 5: Solve for x
    x = 277,992.79/431.76
  6. Step 6: Final answer
    x = 643.86

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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.