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Finding the Fourth Proportional to 463.62, 696.23 and 411.68

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Solution

The fourth proportional to 463.62, 696.23 and 411.68 is: 618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 696.23 = 411.68 : x
  2. Step 2: Convert to fraction form
    463.62/696.23 = 411.68/x
  3. Step 3: Cross multiply
    463.62x = 696.23 × 411.68
  4. Step 4: Simplify right side
    463.62x = 286,622.94
  5. Step 5: Solve for x
    x = 286,622.94/463.62
  6. Step 6: Final answer
    x = 618.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.