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Finding the Fourth Proportional to 780.11, 1,168.67 and 584.11

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Solution

The fourth proportional to 780.11, 1,168.67 and 584.11 is: 875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.11 : 1,168.67 = 584.11 : x
  2. Step 2: Convert to fraction form
    780.11/1,168.67 = 584.11/x
  3. Step 3: Cross multiply
    780.11x = 1,168.67 × 584.11
  4. Step 4: Simplify right side
    780.11x = 682,631.83
  5. Step 5: Solve for x
    x = 682,631.83/780.11
  6. Step 6: Final answer
    x = 875.05

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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.