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Finding the Fourth Proportional to 1,081.61, 1,492.19 and 609.39

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Solution

The fourth proportional to 1,081.61, 1,492.19 and 609.39 is: 840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.61 : 1,492.19 = 609.39 : x
  2. Step 2: Convert to fraction form
    1,081.61/1,492.19 = 609.39/x
  3. Step 3: Cross multiply
    1,081.61x = 1,492.19 × 609.39
  4. Step 4: Simplify right side
    1,081.61x = 909,325.66
  5. Step 5: Solve for x
    x = 909,325.66/1,081.61
  6. Step 6: Final answer
    x = 840.71

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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.