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Finding the Fourth Proportional to 1,513.68, 2,270.57 and 418.13

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Solution

The fourth proportional to 1,513.68, 2,270.57 and 418.13 is: 627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.68 : 2,270.57 = 418.13 : x
  2. Step 2: Convert to fraction form
    1,513.68/2,270.57 = 418.13/x
  3. Step 3: Cross multiply
    1,513.68x = 2,270.57 × 418.13
  4. Step 4: Simplify right side
    1,513.68x = 949,379.99
  5. Step 5: Solve for x
    x = 949,379.99/1,513.68
  6. Step 6: Final answer
    x = 627.20

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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.