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Finding the Fourth Proportional to 492.86, 679.82 and 315.86

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Solution

The fourth proportional to 492.86, 679.82 and 315.86 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.86 : 679.82 = 315.86 : x
  2. Step 2: Convert to fraction form
    492.86/679.82 = 315.86/x
  3. Step 3: Cross multiply
    492.86x = 679.82 × 315.86
  4. Step 4: Simplify right side
    492.86x = 214,727.95
  5. Step 5: Solve for x
    x = 214,727.95/492.86
  6. Step 6: Final answer
    x = 435.68

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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.