Home / 1,513.03-2,270.19-820.18

Finding the Fourth Proportional to 1,513.03, 2,270.19 and 820.18

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Solution

The fourth proportional to 1,513.03, 2,270.19 and 820.18 is: 1,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.03 : 2,270.19 = 820.18 : x
  2. Step 2: Convert to fraction form
    1,513.03/2,270.19 = 820.18/x
  3. Step 3: Cross multiply
    1,513.03x = 2,270.19 × 820.18
  4. Step 4: Simplify right side
    1,513.03x = 1,861,964.43
  5. Step 5: Solve for x
    x = 1,861,964.43/1,513.03
  6. Step 6: Final answer
    x = 1,230.62

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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.