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Finding the Fourth Proportional to 786.53, 1,083.92 and 565.09

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Solution

The fourth proportional to 786.53, 1,083.92 and 565.09 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.53 : 1,083.92 = 565.09 : x
  2. Step 2: Convert to fraction form
    786.53/1,083.92 = 565.09/x
  3. Step 3: Cross multiply
    786.53x = 1,083.92 × 565.09
  4. Step 4: Simplify right side
    786.53x = 612,512.91
  5. Step 5: Solve for x
    x = 612,512.91/786.53
  6. Step 6: Final answer
    x = 778.76

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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.