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Finding the Fourth Proportional to 773.71, 1,160.62 and 280.41

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Solution

The fourth proportional to 773.71, 1,160.62 and 280.41 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.71 : 1,160.62 = 280.41 : x
  2. Step 2: Convert to fraction form
    773.71/1,160.62 = 280.41/x
  3. Step 3: Cross multiply
    773.71x = 1,160.62 × 280.41
  4. Step 4: Simplify right side
    773.71x = 325,448.75
  5. Step 5: Solve for x
    x = 325,448.75/773.71
  6. Step 6: Final answer
    x = 420.64

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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.