Home / 1,207.20-1,810.80-769.80

Finding the Fourth Proportional to 1,207.20, 1,810.80 and 769.80

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Solution

The fourth proportional to 1,207.20, 1,810.80 and 769.80 is: 1,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.20 : 1,810.80 = 769.80 : x
  2. Step 2: Convert to fraction form
    1,207.20/1,810.80 = 769.80/x
  3. Step 3: Cross multiply
    1,207.20x = 1,810.80 × 769.80
  4. Step 4: Simplify right side
    1,207.20x = 1,393,953.84
  5. Step 5: Solve for x
    x = 1,393,953.84/1,207.20
  6. Step 6: Final answer
    x = 1,154.70

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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.