Home / 1,205.15-1,808.06-589.20

Finding the Fourth Proportional to 1,205.15, 1,808.06 and 589.20

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Solution

The fourth proportional to 1,205.15, 1,808.06 and 589.20 is: 883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.15 : 1,808.06 = 589.20 : x
  2. Step 2: Convert to fraction form
    1,205.15/1,808.06 = 589.20/x
  3. Step 3: Cross multiply
    1,205.15x = 1,808.06 × 589.20
  4. Step 4: Simplify right side
    1,205.15x = 1,065,306.01
  5. Step 5: Solve for x
    x = 1,065,306.01/1,205.15
  6. Step 6: Final answer
    x = 883.97

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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.