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Finding the Fourth Proportional to 882.19, 1,216.86 and 695.62

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Solution

The fourth proportional to 882.19, 1,216.86 and 695.62 is: 959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.19 : 1,216.86 = 695.62 : x
  2. Step 2: Convert to fraction form
    882.19/1,216.86 = 695.62/x
  3. Step 3: Cross multiply
    882.19x = 1,216.86 × 695.62
  4. Step 4: Simplify right side
    882.19x = 846,472.15
  5. Step 5: Solve for x
    x = 846,472.15/882.19
  6. Step 6: Final answer
    x = 959.51

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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.