Home / 1,207.24-1,811.40-659.23

Finding the Fourth Proportional to 1,207.24, 1,811.40 and 659.23

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Solution

The fourth proportional to 1,207.24, 1,811.40 and 659.23 is: 989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.24 : 1,811.40 = 659.23 : x
  2. Step 2: Convert to fraction form
    1,207.24/1,811.40 = 659.23/x
  3. Step 3: Cross multiply
    1,207.24x = 1,811.40 × 659.23
  4. Step 4: Simplify right side
    1,207.24x = 1,194,129.22
  5. Step 5: Solve for x
    x = 1,194,129.22/1,207.24
  6. Step 6: Final answer
    x = 989.14

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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.