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Finding the Fourth Proportional to 1,202.76, 1,659.72 and 678.78

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Solution

The fourth proportional to 1,202.76, 1,659.72 and 678.78 is: 936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.76 : 1,659.72 = 678.78 : x
  2. Step 2: Convert to fraction form
    1,202.76/1,659.72 = 678.78/x
  3. Step 3: Cross multiply
    1,202.76x = 1,659.72 × 678.78
  4. Step 4: Simplify right side
    1,202.76x = 1,126,584.74
  5. Step 5: Solve for x
    x = 1,126,584.74/1,202.76
  6. Step 6: Final answer
    x = 936.67

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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.