Home / 1,209.24-1,814.40-661.23

Finding the Fourth Proportional to 1,209.24, 1,814.40 and 661.23

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Solution

The fourth proportional to 1,209.24, 1,814.40 and 661.23 is: 992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.24 : 1,814.40 = 661.23 : x
  2. Step 2: Convert to fraction form
    1,209.24/1,814.40 = 661.23/x
  3. Step 3: Cross multiply
    1,209.24x = 1,814.40 × 661.23
  4. Step 4: Simplify right side
    1,209.24x = 1,199,735.71
  5. Step 5: Solve for x
    x = 1,199,735.71/1,209.24
  6. Step 6: Final answer
    x = 992.14

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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.