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Finding the Fourth Proportional to 783.45, 1,171.94 and 712.17

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Solution

The fourth proportional to 783.45, 1,171.94 and 712.17 is: 1,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.45 : 1,171.94 = 712.17 : x
  2. Step 2: Convert to fraction form
    783.45/1,171.94 = 712.17/x
  3. Step 3: Cross multiply
    783.45x = 1,171.94 × 712.17
  4. Step 4: Simplify right side
    783.45x = 834,616.95
  5. Step 5: Solve for x
    x = 834,616.95/783.45
  6. Step 6: Final answer
    x = 1,065.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.