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Finding the Fourth Proportional to 1,450.28, 2,001.30 and 852.69

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Solution

The fourth proportional to 1,450.28, 2,001.30 and 852.69 is: 1,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.28 : 2,001.30 = 852.69 : x
  2. Step 2: Convert to fraction form
    1,450.28/2,001.30 = 852.69/x
  3. Step 3: Cross multiply
    1,450.28x = 2,001.30 × 852.69
  4. Step 4: Simplify right side
    1,450.28x = 1,706,488.50
  5. Step 5: Solve for x
    x = 1,706,488.50/1,450.28
  6. Step 6: Final answer
    x = 1,176.67

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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.