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Finding the Fourth Proportional to 1,092.45, 1,636.68 and 920.19

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Solution

The fourth proportional to 1,092.45, 1,636.68 and 920.19 is: 1,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.45 : 1,636.68 = 920.19 : x
  2. Step 2: Convert to fraction form
    1,092.45/1,636.68 = 920.19/x
  3. Step 3: Cross multiply
    1,092.45x = 1,636.68 × 920.19
  4. Step 4: Simplify right side
    1,092.45x = 1,506,056.57
  5. Step 5: Solve for x
    x = 1,506,056.57/1,092.45
  6. Step 6: Final answer
    x = 1,378.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.