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Finding the Fourth Proportional to 855.74, 1,179.83 and 575.53

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Solution

The fourth proportional to 855.74, 1,179.83 and 575.53 is: 793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.74 : 1,179.83 = 575.53 : x
  2. Step 2: Convert to fraction form
    855.74/1,179.83 = 575.53/x
  3. Step 3: Cross multiply
    855.74x = 1,179.83 × 575.53
  4. Step 4: Simplify right side
    855.74x = 679,027.56
  5. Step 5: Solve for x
    x = 679,027.56/855.74
  6. Step 6: Final answer
    x = 793.50

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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.