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Finding the Fourth Proportional to 463.50, 696.04 and 411.56

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Solution

The fourth proportional to 463.50, 696.04 and 411.56 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 696.04 = 411.56 : x
  2. Step 2: Convert to fraction form
    463.50/696.04 = 411.56/x
  3. Step 3: Cross multiply
    463.50x = 696.04 × 411.56
  4. Step 4: Simplify right side
    463.50x = 286,458.74
  5. Step 5: Solve for x
    x = 286,458.74/463.50
  6. Step 6: Final answer
    x = 618.04

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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.