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Finding the Fourth Proportional to 993.63, 1,489.92 and 808.05

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Solution

The fourth proportional to 993.63, 1,489.92 and 808.05 is: 1,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.63 : 1,489.92 = 808.05 : x
  2. Step 2: Convert to fraction form
    993.63/1,489.92 = 808.05/x
  3. Step 3: Cross multiply
    993.63x = 1,489.92 × 808.05
  4. Step 4: Simplify right side
    993.63x = 1,203,929.86
  5. Step 5: Solve for x
    x = 1,203,929.86/993.63
  6. Step 6: Final answer
    x = 1,211.65

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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.