Home / 1,206.23-1,808.08-589.09

Finding the Fourth Proportional to 1,206.23, 1,808.08 and 589.09

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Solution

The fourth proportional to 1,206.23, 1,808.08 and 589.09 is: 883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.23 : 1,808.08 = 589.09 : x
  2. Step 2: Convert to fraction form
    1,206.23/1,808.08 = 589.09/x
  3. Step 3: Cross multiply
    1,206.23x = 1,808.08 × 589.09
  4. Step 4: Simplify right side
    1,206.23x = 1,065,121.85
  5. Step 5: Solve for x
    x = 1,065,121.85/1,206.23
  6. Step 6: Final answer
    x = 883.02

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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.