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Finding the Fourth Proportional to 786.86, 1,175.08 and 677.52

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Solution

The fourth proportional to 786.86, 1,175.08 and 677.52 is: 1,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.86 : 1,175.08 = 677.52 : x
  2. Step 2: Convert to fraction form
    786.86/1,175.08 = 677.52/x
  3. Step 3: Cross multiply
    786.86x = 1,175.08 × 677.52
  4. Step 4: Simplify right side
    786.86x = 796,140.20
  5. Step 5: Solve for x
    x = 796,140.20/786.86
  6. Step 6: Final answer
    x = 1,011.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.