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Finding the Fourth Proportional to 855.57, 1,181.34 and 560.73

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Solution

The fourth proportional to 855.57, 1,181.34 and 560.73 is: 774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.57 : 1,181.34 = 560.73 : x
  2. Step 2: Convert to fraction form
    855.57/1,181.34 = 560.73/x
  3. Step 3: Cross multiply
    855.57x = 1,181.34 × 560.73
  4. Step 4: Simplify right side
    855.57x = 662,412.78
  5. Step 5: Solve for x
    x = 662,412.78/855.57
  6. Step 6: Final answer
    x = 774.24

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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.