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Finding the Fourth Proportional to 776.57, 1,164.85 and 729.05

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Solution

The fourth proportional to 776.57, 1,164.85 and 729.05 is: 1,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.57 : 1,164.85 = 729.05 : x
  2. Step 2: Convert to fraction form
    776.57/1,164.85 = 729.05/x
  3. Step 3: Cross multiply
    776.57x = 1,164.85 × 729.05
  4. Step 4: Simplify right side
    776.57x = 849,226.25
  5. Step 5: Solve for x
    x = 849,226.25/776.57
  6. Step 6: Final answer
    x = 1,093.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.