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Finding the Fourth Proportional to 856.42, 1,180.71 and 669.17

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Solution

The fourth proportional to 856.42, 1,180.71 and 669.17 is: 922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.42 : 1,180.71 = 669.17 : x
  2. Step 2: Convert to fraction form
    856.42/1,180.71 = 669.17/x
  3. Step 3: Cross multiply
    856.42x = 1,180.71 × 669.17
  4. Step 4: Simplify right side
    856.42x = 790,098.66
  5. Step 5: Solve for x
    x = 790,098.66/856.42
  6. Step 6: Final answer
    x = 922.56

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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.