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Finding the Fourth Proportional to 780.12, 1,169.58 and 415.26

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Solution

The fourth proportional to 780.12, 1,169.58 and 415.26 is: 622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.12 : 1,169.58 = 415.26 : x
  2. Step 2: Convert to fraction form
    780.12/1,169.58 = 415.26/x
  3. Step 3: Cross multiply
    780.12x = 1,169.58 × 415.26
  4. Step 4: Simplify right side
    780.12x = 485,679.79
  5. Step 5: Solve for x
    x = 485,679.79/780.12
  6. Step 6: Final answer
    x = 622.57

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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.