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Finding the Fourth Proportional to 1,081.62, 1,492.46 and 609.42

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Solution

The fourth proportional to 1,081.62, 1,492.46 and 609.42 is: 840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.62 : 1,492.46 = 609.42 : x
  2. Step 2: Convert to fraction form
    1,081.62/1,492.46 = 609.42/x
  3. Step 3: Cross multiply
    1,081.62x = 1,492.46 × 609.42
  4. Step 4: Simplify right side
    1,081.62x = 909,534.97
  5. Step 5: Solve for x
    x = 909,534.97/1,081.62
  6. Step 6: Final answer
    x = 840.90

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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.