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Finding the Fourth Proportional to 838.50, 1,258.96 and 512.88

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Solution

The fourth proportional to 838.50, 1,258.96 and 512.88 is: 770.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.50 : 1,258.96 = 512.88 : x
  2. Step 2: Convert to fraction form
    838.50/1,258.96 = 512.88/x
  3. Step 3: Cross multiply
    838.50x = 1,258.96 × 512.88
  4. Step 4: Simplify right side
    838.50x = 645,695.40
  5. Step 5: Solve for x
    x = 645,695.40/838.50
  6. Step 6: Final answer
    x = 770.06

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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.