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Finding the Fourth Proportional to 856.04, 1,182.42 and 660.68

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Solution

The fourth proportional to 856.04, 1,182.42 and 660.68 is: 912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.04 : 1,182.42 = 660.68 : x
  2. Step 2: Convert to fraction form
    856.04/1,182.42 = 660.68/x
  3. Step 3: Cross multiply
    856.04x = 1,182.42 × 660.68
  4. Step 4: Simplify right side
    856.04x = 781,201.25
  5. Step 5: Solve for x
    x = 781,201.25/856.04
  6. Step 6: Final answer
    x = 912.58

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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.