Home / 1,206.13-1,809.26-512.70

Finding the Fourth Proportional to 1,206.13, 1,809.26 and 512.70

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Solution

The fourth proportional to 1,206.13, 1,809.26 and 512.70 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.13 : 1,809.26 = 512.70 : x
  2. Step 2: Convert to fraction form
    1,206.13/1,809.26 = 512.70/x
  3. Step 3: Cross multiply
    1,206.13x = 1,809.26 × 512.70
  4. Step 4: Simplify right side
    1,206.13x = 927,605.04
  5. Step 5: Solve for x
    x = 927,605.04/1,206.13
  6. Step 6: Final answer
    x = 769.08

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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.