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Finding the Fourth Proportional to 993.91, 1,484.17 and 811.66

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Solution

The fourth proportional to 993.91, 1,484.17 and 811.66 is: 1,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.91 : 1,484.17 = 811.66 : x
  2. Step 2: Convert to fraction form
    993.91/1,484.17 = 811.66/x
  3. Step 3: Cross multiply
    993.91x = 1,484.17 × 811.66
  4. Step 4: Simplify right side
    993.91x = 1,204,641.42
  5. Step 5: Solve for x
    x = 1,204,641.42/993.91
  6. Step 6: Final answer
    x = 1,212.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.