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Finding the Fourth Proportional to 773.69, 1,160.67 and 340.88

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Solution

The fourth proportional to 773.69, 1,160.67 and 340.88 is: 511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.69 : 1,160.67 = 340.88 : x
  2. Step 2: Convert to fraction form
    773.69/1,160.67 = 340.88/x
  3. Step 3: Cross multiply
    773.69x = 1,160.67 × 340.88
  4. Step 4: Simplify right side
    773.69x = 395,649.19
  5. Step 5: Solve for x
    x = 395,649.19/773.69
  6. Step 6: Final answer
    x = 511.38

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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.