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Finding the Fourth Proportional to 773.95, 1,160.47 and 514.09

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Solution

The fourth proportional to 773.95, 1,160.47 and 514.09 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.95 : 1,160.47 = 514.09 : x
  2. Step 2: Convert to fraction form
    773.95/1,160.47 = 514.09/x
  3. Step 3: Cross multiply
    773.95x = 1,160.47 × 514.09
  4. Step 4: Simplify right side
    773.95x = 596,583.45
  5. Step 5: Solve for x
    x = 596,583.45/773.95
  6. Step 6: Final answer
    x = 770.83

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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.