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Finding the Fourth Proportional to 783.37, 1,169.28 and 767.17

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Solution

The fourth proportional to 783.37, 1,169.28 and 767.17 is: 1,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.37 : 1,169.28 = 767.17 : x
  2. Step 2: Convert to fraction form
    783.37/1,169.28 = 767.17/x
  3. Step 3: Cross multiply
    783.37x = 1,169.28 × 767.17
  4. Step 4: Simplify right side
    783.37x = 897,026.86
  5. Step 5: Solve for x
    x = 897,026.86/783.37
  6. Step 6: Final answer
    x = 1,145.09

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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.