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Finding the Fourth Proportional to 838.08, 1,255.30 and 512.46

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Solution

The fourth proportional to 838.08, 1,255.30 and 512.46 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.08 : 1,255.30 = 512.46 : x
  2. Step 2: Convert to fraction form
    838.08/1,255.30 = 512.46/x
  3. Step 3: Cross multiply
    838.08x = 1,255.30 × 512.46
  4. Step 4: Simplify right side
    838.08x = 643,289.76
  5. Step 5: Solve for x
    x = 643,289.76/838.08
  6. Step 6: Final answer
    x = 767.58

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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.