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Finding the Fourth Proportional to 662.86, 993.48 and 354.79

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Solution

The fourth proportional to 662.86, 993.48 and 354.79 is: 531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.86 : 993.48 = 354.79 : x
  2. Step 2: Convert to fraction form
    662.86/993.48 = 354.79/x
  3. Step 3: Cross multiply
    662.86x = 993.48 × 354.79
  4. Step 4: Simplify right side
    662.86x = 352,476.77
  5. Step 5: Solve for x
    x = 352,476.77/662.86
  6. Step 6: Final answer
    x = 531.75

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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.