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Finding the Fourth Proportional to 508.87, 701.78 and 396.86

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Solution

The fourth proportional to 508.87, 701.78 and 396.86 is: 547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.87 : 701.78 = 396.86 : x
  2. Step 2: Convert to fraction form
    508.87/701.78 = 396.86/x
  3. Step 3: Cross multiply
    508.87x = 701.78 × 396.86
  4. Step 4: Simplify right side
    508.87x = 278,508.41
  5. Step 5: Solve for x
    x = 278,508.41/508.87
  6. Step 6: Final answer
    x = 547.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.