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Finding the Fourth Proportional to 425.81, 635.95 and 402.11

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Solution

The fourth proportional to 425.81, 635.95 and 402.11 is: 600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.81 : 635.95 = 402.11 : x
  2. Step 2: Convert to fraction form
    425.81/635.95 = 402.11/x
  3. Step 3: Cross multiply
    425.81x = 635.95 × 402.11
  4. Step 4: Simplify right side
    425.81x = 255,725.14
  5. Step 5: Solve for x
    x = 255,725.14/425.81
  6. Step 6: Final answer
    x = 600.57

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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.