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Finding the Fourth Proportional to 855.05, 1,180.92 and 761.79

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Solution

The fourth proportional to 855.05, 1,180.92 and 761.79 is: 1,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.05 : 1,180.92 = 761.79 : x
  2. Step 2: Convert to fraction form
    855.05/1,180.92 = 761.79/x
  3. Step 3: Cross multiply
    855.05x = 1,180.92 × 761.79
  4. Step 4: Simplify right side
    855.05x = 899,613.05
  5. Step 5: Solve for x
    x = 899,613.05/855.05
  6. Step 6: Final answer
    x = 1,052.12

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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.