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Finding the Fourth Proportional to 881.20, 1,215.96 and 706.48

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Solution

The fourth proportional to 881.20, 1,215.96 and 706.48 is: 974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.20 : 1,215.96 = 706.48 : x
  2. Step 2: Convert to fraction form
    881.20/1,215.96 = 706.48/x
  3. Step 3: Cross multiply
    881.20x = 1,215.96 × 706.48
  4. Step 4: Simplify right side
    881.20x = 859,051.42
  5. Step 5: Solve for x
    x = 859,051.42/881.20
  6. Step 6: Final answer
    x = 974.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.