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Finding the Fourth Proportional to 838.91, 1,262.78 and 765.08

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Solution

The fourth proportional to 838.91, 1,262.78 and 765.08 is: 1,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.91 : 1,262.78 = 765.08 : x
  2. Step 2: Convert to fraction form
    838.91/1,262.78 = 765.08/x
  3. Step 3: Cross multiply
    838.91x = 1,262.78 × 765.08
  4. Step 4: Simplify right side
    838.91x = 966,127.72
  5. Step 5: Solve for x
    x = 966,127.72/838.91
  6. Step 6: Final answer
    x = 1,151.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.