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Finding the Fourth Proportional to 838.02, 1,255.49 and 654.52

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Solution

The fourth proportional to 838.02, 1,255.49 and 654.52 is: 980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.02 : 1,255.49 = 654.52 : x
  2. Step 2: Convert to fraction form
    838.02/1,255.49 = 654.52/x
  3. Step 3: Cross multiply
    838.02x = 1,255.49 × 654.52
  4. Step 4: Simplify right side
    838.02x = 821,743.31
  5. Step 5: Solve for x
    x = 821,743.31/838.02
  6. Step 6: Final answer
    x = 980.58

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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.