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Finding the Fourth Proportional to 807.70, 1,209.67 and 518.26

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Solution

The fourth proportional to 807.70, 1,209.67 and 518.26 is: 776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.70 : 1,209.67 = 518.26 : x
  2. Step 2: Convert to fraction form
    807.70/1,209.67 = 518.26/x
  3. Step 3: Cross multiply
    807.70x = 1,209.67 × 518.26
  4. Step 4: Simplify right side
    807.70x = 626,923.57
  5. Step 5: Solve for x
    x = 626,923.57/807.70
  6. Step 6: Final answer
    x = 776.18

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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.