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Finding the Fourth Proportional to 847.31, 1,276.62 and 765.14

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Solution

The fourth proportional to 847.31, 1,276.62 and 765.14 is: 1,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.31 : 1,276.62 = 765.14 : x
  2. Step 2: Convert to fraction form
    847.31/1,276.62 = 765.14/x
  3. Step 3: Cross multiply
    847.31x = 1,276.62 × 765.14
  4. Step 4: Simplify right side
    847.31x = 976,786.64
  5. Step 5: Solve for x
    x = 976,786.64/847.31
  6. Step 6: Final answer
    x = 1,152.82

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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.