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Finding the Fourth Proportional to 1,020.45, 1,529.13 and 499.67

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Solution

The fourth proportional to 1,020.45, 1,529.13 and 499.67 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.45 : 1,529.13 = 499.67 : x
  2. Step 2: Convert to fraction form
    1,020.45/1,529.13 = 499.67/x
  3. Step 3: Cross multiply
    1,020.45x = 1,529.13 × 499.67
  4. Step 4: Simplify right side
    1,020.45x = 764,057.54
  5. Step 5: Solve for x
    x = 764,057.54/1,020.45
  6. Step 6: Final answer
    x = 748.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.