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Finding the Fourth Proportional to 967.77, 1,451.61 and 318.42

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Solution

The fourth proportional to 967.77, 1,451.61 and 318.42 is: 477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.77 : 1,451.61 = 318.42 : x
  2. Step 2: Convert to fraction form
    967.77/1,451.61 = 318.42/x
  3. Step 3: Cross multiply
    967.77x = 1,451.61 × 318.42
  4. Step 4: Simplify right side
    967.77x = 462,221.66
  5. Step 5: Solve for x
    x = 462,221.66/967.77
  6. Step 6: Final answer
    x = 477.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.