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Finding the Fourth Proportional to 856.22, 1,284.86 and 491.72

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Solution

The fourth proportional to 856.22, 1,284.86 and 491.72 is: 737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.22 : 1,284.86 = 491.72 : x
  2. Step 2: Convert to fraction form
    856.22/1,284.86 = 491.72/x
  3. Step 3: Cross multiply
    856.22x = 1,284.86 × 491.72
  4. Step 4: Simplify right side
    856.22x = 631,791.36
  5. Step 5: Solve for x
    x = 631,791.36/856.22
  6. Step 6: Final answer
    x = 737.88

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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.