Home / 1,206.14-1,809.01-340.25

Finding the Fourth Proportional to 1,206.14, 1,809.01 and 340.25

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Solution

The fourth proportional to 1,206.14, 1,809.01 and 340.25 is: 510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.14 : 1,809.01 = 340.25 : x
  2. Step 2: Convert to fraction form
    1,206.14/1,809.01 = 340.25/x
  3. Step 3: Cross multiply
    1,206.14x = 1,809.01 × 340.25
  4. Step 4: Simplify right side
    1,206.14x = 615,513.95
  5. Step 5: Solve for x
    x = 615,513.95/1,206.14
  6. Step 6: Final answer
    x = 510.32

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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.