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Finding the Fourth Proportional to 1,513.94, 2,270.90 and 418.31

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Solution

The fourth proportional to 1,513.94, 2,270.90 and 418.31 is: 627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.94 : 2,270.90 = 418.31 : x
  2. Step 2: Convert to fraction form
    1,513.94/2,270.90 = 418.31/x
  3. Step 3: Cross multiply
    1,513.94x = 2,270.90 × 418.31
  4. Step 4: Simplify right side
    1,513.94x = 949,929.87
  5. Step 5: Solve for x
    x = 949,929.87/1,513.94
  6. Step 6: Final answer
    x = 627.46

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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.