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Finding the Fourth Proportional to 770.83, 1,155.14 and 729.25

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Solution

The fourth proportional to 770.83, 1,155.14 and 729.25 is: 1,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.83 : 1,155.14 = 729.25 : x
  2. Step 2: Convert to fraction form
    770.83/1,155.14 = 729.25/x
  3. Step 3: Cross multiply
    770.83x = 1,155.14 × 729.25
  4. Step 4: Simplify right side
    770.83x = 842,382.05
  5. Step 5: Solve for x
    x = 842,382.05/770.83
  6. Step 6: Final answer
    x = 1,092.83

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Why These Related Problems?

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