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Finding the Fourth Proportional to 1,226.62, 1,693.13 and 785.71

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Solution

The fourth proportional to 1,226.62, 1,693.13 and 785.71 is: 1,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.62 : 1,693.13 = 785.71 : x
  2. Step 2: Convert to fraction form
    1,226.62/1,693.13 = 785.71/x
  3. Step 3: Cross multiply
    1,226.62x = 1,693.13 × 785.71
  4. Step 4: Simplify right side
    1,226.62x = 1,330,309.17
  5. Step 5: Solve for x
    x = 1,330,309.17/1,226.62
  6. Step 6: Final answer
    x = 1,084.53

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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.