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Finding the Fourth Proportional to 967.23, 1,447.78 and 691.98

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Solution

The fourth proportional to 967.23, 1,447.78 and 691.98 is: 1,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.23 : 1,447.78 = 691.98 : x
  2. Step 2: Convert to fraction form
    967.23/1,447.78 = 691.98/x
  3. Step 3: Cross multiply
    967.23x = 1,447.78 × 691.98
  4. Step 4: Simplify right side
    967.23x = 1,001,833.35
  5. Step 5: Solve for x
    x = 1,001,833.35/967.23
  6. Step 6: Final answer
    x = 1,035.77

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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.