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Finding the Fourth Proportional to 773.54, 1,160.32 and 515.22

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Solution

The fourth proportional to 773.54, 1,160.32 and 515.22 is: 772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,160.32 = 515.22 : x
  2. Step 2: Convert to fraction form
    773.54/1,160.32 = 515.22/x
  3. Step 3: Cross multiply
    773.54x = 1,160.32 × 515.22
  4. Step 4: Simplify right side
    773.54x = 597,820.07
  5. Step 5: Solve for x
    x = 597,820.07/773.54
  6. Step 6: Final answer
    x = 772.84

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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.