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Finding the Fourth Proportional to 853.95, 1,177.44 and 729.21

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Solution

The fourth proportional to 853.95, 1,177.44 and 729.21 is: 1,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.95 : 1,177.44 = 729.21 : x
  2. Step 2: Convert to fraction form
    853.95/1,177.44 = 729.21/x
  3. Step 3: Cross multiply
    853.95x = 1,177.44 × 729.21
  4. Step 4: Simplify right side
    853.95x = 858,601.02
  5. Step 5: Solve for x
    x = 858,601.02/853.95
  6. Step 6: Final answer
    x = 1,005.45

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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.