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Finding the Fourth Proportional to 462.26, 696.12 and 402.11

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Solution

The fourth proportional to 462.26, 696.12 and 402.11 is: 605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 696.12 = 402.11 : x
  2. Step 2: Convert to fraction form
    462.26/696.12 = 402.11/x
  3. Step 3: Cross multiply
    462.26x = 696.12 × 402.11
  4. Step 4: Simplify right side
    462.26x = 279,916.54
  5. Step 5: Solve for x
    x = 279,916.54/462.26
  6. Step 6: Final answer
    x = 605.55

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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.