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Finding the Fourth Proportional to 773.93, 1,160.12 and 500.22

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Solution

The fourth proportional to 773.93, 1,160.12 and 500.22 is: 749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.93 : 1,160.12 = 500.22 : x
  2. Step 2: Convert to fraction form
    773.93/1,160.12 = 500.22/x
  3. Step 3: Cross multiply
    773.93x = 1,160.12 × 500.22
  4. Step 4: Simplify right side
    773.93x = 580,315.23
  5. Step 5: Solve for x
    x = 580,315.23/773.93
  6. Step 6: Final answer
    x = 749.83

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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.