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Finding the Fourth Proportional to 463.76, 698.38 and 403.62

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Solution

The fourth proportional to 463.76, 698.38 and 403.62 is: 607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 698.38 = 403.62 : x
  2. Step 2: Convert to fraction form
    463.76/698.38 = 403.62/x
  3. Step 3: Cross multiply
    463.76x = 698.38 × 403.62
  4. Step 4: Simplify right side
    463.76x = 281,880.14
  5. Step 5: Solve for x
    x = 281,880.14/463.76
  6. Step 6: Final answer
    x = 607.81

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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.