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Finding the Fourth Proportional to 853.13, 1,176.59 and 766.73

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Solution

The fourth proportional to 853.13, 1,176.59 and 766.73 is: 1,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.13 : 1,176.59 = 766.73 : x
  2. Step 2: Convert to fraction form
    853.13/1,176.59 = 766.73/x
  3. Step 3: Cross multiply
    853.13x = 1,176.59 × 766.73
  4. Step 4: Simplify right side
    853.13x = 902,123.02
  5. Step 5: Solve for x
    x = 902,123.02/853.13
  6. Step 6: Final answer
    x = 1,057.43

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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.