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Finding the Fourth Proportional to 856.53, 1,180.69 and 698.88

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Solution

The fourth proportional to 856.53, 1,180.69 and 698.88 is: 963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.53 : 1,180.69 = 698.88 : x
  2. Step 2: Convert to fraction form
    856.53/1,180.69 = 698.88/x
  3. Step 3: Cross multiply
    856.53x = 1,180.69 × 698.88
  4. Step 4: Simplify right side
    856.53x = 825,163.14
  5. Step 5: Solve for x
    x = 825,163.14/856.53
  6. Step 6: Final answer
    x = 963.38

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Half scale
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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.