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Finding the Fourth Proportional to 1,513.91, 2,270.60 and 418.02

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Solution

The fourth proportional to 1,513.91, 2,270.60 and 418.02 is: 626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.91 : 2,270.60 = 418.02 : x
  2. Step 2: Convert to fraction form
    1,513.91/2,270.60 = 418.02/x
  3. Step 3: Cross multiply
    1,513.91x = 2,270.60 × 418.02
  4. Step 4: Simplify right side
    1,513.91x = 949,154.12
  5. Step 5: Solve for x
    x = 949,154.12/1,513.91
  6. Step 6: Final answer
    x = 626.96

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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.