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Finding the Fourth Proportional to 1,081.24, 1,492 and 661.80

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Solution

The fourth proportional to 1,081.24, 1,492 and 661.80 is: 913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.24 : 1,492 = 661.80 : x
  2. Step 2: Convert to fraction form
    1,081.24/1,492 = 661.80/x
  3. Step 3: Cross multiply
    1,081.24x = 1,492 × 661.80
  4. Step 4: Simplify right side
    1,081.24x = 987,405.60
  5. Step 5: Solve for x
    x = 987,405.60/1,081.24
  6. Step 6: Final answer
    x = 913.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.