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Finding the Fourth Proportional to 1,227.75, 1,693.10 and 785.49

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Solution

The fourth proportional to 1,227.75, 1,693.10 and 785.49 is: 1,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.75 : 1,693.10 = 785.49 : x
  2. Step 2: Convert to fraction form
    1,227.75/1,693.10 = 785.49/x
  3. Step 3: Cross multiply
    1,227.75x = 1,693.10 × 785.49
  4. Step 4: Simplify right side
    1,227.75x = 1,329,909.19
  5. Step 5: Solve for x
    x = 1,329,909.19/1,227.75
  6. Step 6: Final answer
    x = 1,083.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.