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Finding the Fourth Proportional to 463.19, 693.90 and 308.66

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Solution

The fourth proportional to 463.19, 693.90 and 308.66 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 693.90 = 308.66 : x
  2. Step 2: Convert to fraction form
    463.19/693.90 = 308.66/x
  3. Step 3: Cross multiply
    463.19x = 693.90 × 308.66
  4. Step 4: Simplify right side
    463.19x = 214,175.70
  5. Step 5: Solve for x
    x = 214,175.70/463.19
  6. Step 6: Final answer
    x = 462.40

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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.