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Finding the Fourth Proportional to 1,081.54, 1,492.59 and 906.58

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Solution

The fourth proportional to 1,081.54, 1,492.59 and 906.58 is: 1,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.54 : 1,492.59 = 906.58 : x
  2. Step 2: Convert to fraction form
    1,081.54/1,492.59 = 906.58/x
  3. Step 3: Cross multiply
    1,081.54x = 1,492.59 × 906.58
  4. Step 4: Simplify right side
    1,081.54x = 1,353,152.24
  5. Step 5: Solve for x
    x = 1,353,152.24/1,081.54
  6. Step 6: Final answer
    x = 1,251.13

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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.