Home / 1,206.20-1,810.17-513.07

Finding the Fourth Proportional to 1,206.20, 1,810.17 and 513.07

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Solution

The fourth proportional to 1,206.20, 1,810.17 and 513.07 is: 769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.20 : 1,810.17 = 513.07 : x
  2. Step 2: Convert to fraction form
    1,206.20/1,810.17 = 513.07/x
  3. Step 3: Cross multiply
    1,206.20x = 1,810.17 × 513.07
  4. Step 4: Simplify right side
    1,206.20x = 928,743.92
  5. Step 5: Solve for x
    x = 928,743.92/1,206.20
  6. Step 6: Final answer
    x = 769.98

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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.