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Finding the Fourth Proportional to 780.53, 1,169.87 and 415.11

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Solution

The fourth proportional to 780.53, 1,169.87 and 415.11 is: 622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.53 : 1,169.87 = 415.11 : x
  2. Step 2: Convert to fraction form
    780.53/1,169.87 = 415.11/x
  3. Step 3: Cross multiply
    780.53x = 1,169.87 × 415.11
  4. Step 4: Simplify right side
    780.53x = 485,622.66
  5. Step 5: Solve for x
    x = 485,622.66/780.53
  6. Step 6: Final answer
    x = 622.17

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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.