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Finding the Fourth Proportional to 1,285.57, 1,774.26 and 788.12

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Solution

The fourth proportional to 1,285.57, 1,774.26 and 788.12 is: 1,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.57 : 1,774.26 = 788.12 : x
  2. Step 2: Convert to fraction form
    1,285.57/1,774.26 = 788.12/x
  3. Step 3: Cross multiply
    1,285.57x = 1,774.26 × 788.12
  4. Step 4: Simplify right side
    1,285.57x = 1,398,316.98
  5. Step 5: Solve for x
    x = 1,398,316.98/1,285.57
  6. Step 6: Final answer
    x = 1,087.71

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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.