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Finding the Fourth Proportional to 1,650.81, 2,476.18 and 418.21

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Solution

The fourth proportional to 1,650.81, 2,476.18 and 418.21 is: 627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.81 : 2,476.18 = 418.21 : x
  2. Step 2: Convert to fraction form
    1,650.81/2,476.18 = 418.21/x
  3. Step 3: Cross multiply
    1,650.81x = 2,476.18 × 418.21
  4. Step 4: Simplify right side
    1,650.81x = 1,035,563.24
  5. Step 5: Solve for x
    x = 1,035,563.24/1,650.81
  6. Step 6: Final answer
    x = 627.31

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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.