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Finding the Fourth Proportional to 851.08, 1,270.45 and 838.78

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Solution

The fourth proportional to 851.08, 1,270.45 and 838.78 is: 1,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.08 : 1,270.45 = 838.78 : x
  2. Step 2: Convert to fraction form
    851.08/1,270.45 = 838.78/x
  3. Step 3: Cross multiply
    851.08x = 1,270.45 × 838.78
  4. Step 4: Simplify right side
    851.08x = 1,065,621.21
  5. Step 5: Solve for x
    x = 1,065,621.21/851.08
  6. Step 6: Final answer
    x = 1,252.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.