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Finding the Fourth Proportional to 881.68, 1,215.30 and 694.86

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Solution

The fourth proportional to 881.68, 1,215.30 and 694.86 is: 957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.68 : 1,215.30 = 694.86 : x
  2. Step 2: Convert to fraction form
    881.68/1,215.30 = 694.86/x
  3. Step 3: Cross multiply
    881.68x = 1,215.30 × 694.86
  4. Step 4: Simplify right side
    881.68x = 844,457.28
  5. Step 5: Solve for x
    x = 844,457.28/881.68
  6. Step 6: Final answer
    x = 957.79

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Why These Related Problems?

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