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Finding the Fourth Proportional to 1,081.21, 1,492.11 and 661.75

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Solution

The fourth proportional to 1,081.21, 1,492.11 and 661.75 is: 913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.21 : 1,492.11 = 661.75 : x
  2. Step 2: Convert to fraction form
    1,081.21/1,492.11 = 661.75/x
  3. Step 3: Cross multiply
    1,081.21x = 1,492.11 × 661.75
  4. Step 4: Simplify right side
    1,081.21x = 987,400.48
  5. Step 5: Solve for x
    x = 987,400.48/1,081.21
  6. Step 6: Final answer
    x = 913.24

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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.