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Finding the Fourth Proportional to 767.16, 1,143.36 and 765.95

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Solution

The fourth proportional to 767.16, 1,143.36 and 765.95 is: 1,141.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.16 : 1,143.36 = 765.95 : x
  2. Step 2: Convert to fraction form
    767.16/1,143.36 = 765.95/x
  3. Step 3: Cross multiply
    767.16x = 1,143.36 × 765.95
  4. Step 4: Simplify right side
    767.16x = 875,750.88
  5. Step 5: Solve for x
    x = 875,750.88/767.16
  6. Step 6: Final answer
    x = 1,141.55

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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.