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Finding the Fourth Proportional to 856.20, 1,182.22 and 691.20

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Solution

The fourth proportional to 856.20, 1,182.22 and 691.20 is: 954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.20 : 1,182.22 = 691.20 : x
  2. Step 2: Convert to fraction form
    856.20/1,182.22 = 691.20/x
  3. Step 3: Cross multiply
    856.20x = 1,182.22 × 691.20
  4. Step 4: Simplify right side
    856.20x = 817,150.46
  5. Step 5: Solve for x
    x = 817,150.46/856.20
  6. Step 6: Final answer
    x = 954.39

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Double scale
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1.5x scale

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.