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Finding the Fourth Proportional to 1,004.25, 1,505.77 and 418.55

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Solution

The fourth proportional to 1,004.25, 1,505.77 and 418.55 is: 627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.25 : 1,505.77 = 418.55 : x
  2. Step 2: Convert to fraction form
    1,004.25/1,505.77 = 418.55/x
  3. Step 3: Cross multiply
    1,004.25x = 1,505.77 × 418.55
  4. Step 4: Simplify right side
    1,004.25x = 630,240.03
  5. Step 5: Solve for x
    x = 630,240.03/1,004.25
  6. Step 6: Final answer
    x = 627.57

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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.