Home / 1,206.16-1,809.35-426.07

Finding the Fourth Proportional to 1,206.16, 1,809.35 and 426.07

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Solution

The fourth proportional to 1,206.16, 1,809.35 and 426.07 is: 639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.16 : 1,809.35 = 426.07 : x
  2. Step 2: Convert to fraction form
    1,206.16/1,809.35 = 426.07/x
  3. Step 3: Cross multiply
    1,206.16x = 1,809.35 × 426.07
  4. Step 4: Simplify right side
    1,206.16x = 770,909.75
  5. Step 5: Solve for x
    x = 770,909.75/1,206.16
  6. Step 6: Final answer
    x = 639.14

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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.