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Finding the Fourth Proportional to 855.09, 1,180.53 and 560.87

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Solution

The fourth proportional to 855.09, 1,180.53 and 560.87 is: 774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.09 : 1,180.53 = 560.87 : x
  2. Step 2: Convert to fraction form
    855.09/1,180.53 = 560.87/x
  3. Step 3: Cross multiply
    855.09x = 1,180.53 × 560.87
  4. Step 4: Simplify right side
    855.09x = 662,124.49
  5. Step 5: Solve for x
    x = 662,124.49/855.09
  6. Step 6: Final answer
    x = 774.33

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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.