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Finding the Fourth Proportional to 463.42, 694.80 and 257.86

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Solution

The fourth proportional to 463.42, 694.80 and 257.86 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.42 : 694.80 = 257.86 : x
  2. Step 2: Convert to fraction form
    463.42/694.80 = 257.86/x
  3. Step 3: Cross multiply
    463.42x = 694.80 × 257.86
  4. Step 4: Simplify right side
    463.42x = 179,161.13
  5. Step 5: Solve for x
    x = 179,161.13/463.42
  6. Step 6: Final answer
    x = 386.61

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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.