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Finding the Fourth Proportional to 462.76, 696.87 and 402.62

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Solution

The fourth proportional to 462.76, 696.87 and 402.62 is: 606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.76 : 696.87 = 402.62 : x
  2. Step 2: Convert to fraction form
    462.76/696.87 = 402.62/x
  3. Step 3: Cross multiply
    462.76x = 696.87 × 402.62
  4. Step 4: Simplify right side
    462.76x = 280,570.32
  5. Step 5: Solve for x
    x = 280,570.32/462.76
  6. Step 6: Final answer
    x = 606.30

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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.