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Finding the Fourth Proportional to 1,081.92, 1,492.14 and 916.50

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Solution

The fourth proportional to 1,081.92, 1,492.14 and 916.50 is: 1,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.92 : 1,492.14 = 916.50 : x
  2. Step 2: Convert to fraction form
    1,081.92/1,492.14 = 916.50/x
  3. Step 3: Cross multiply
    1,081.92x = 1,492.14 × 916.50
  4. Step 4: Simplify right side
    1,081.92x = 1,367,546.31
  5. Step 5: Solve for x
    x = 1,367,546.31/1,081.92
  6. Step 6: Final answer
    x = 1,264.00

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