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Finding the Fourth Proportional to 429.82, 640.95 and 425.92

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Solution

The fourth proportional to 429.82, 640.95 and 425.92 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 640.95 = 425.92 : x
  2. Step 2: Convert to fraction form
    429.82/640.95 = 425.92/x
  3. Step 3: Cross multiply
    429.82x = 640.95 × 425.92
  4. Step 4: Simplify right side
    429.82x = 272,993.42
  5. Step 5: Solve for x
    x = 272,993.42/429.82
  6. Step 6: Final answer
    x = 635.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.