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Finding the Fourth Proportional to 1,790.57, 2,685.85 and 492.04

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Solution

The fourth proportional to 1,790.57, 2,685.85 and 492.04 is: 738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.57 : 2,685.85 = 492.04 : x
  2. Step 2: Convert to fraction form
    1,790.57/2,685.85 = 492.04/x
  3. Step 3: Cross multiply
    1,790.57x = 2,685.85 × 492.04
  4. Step 4: Simplify right side
    1,790.57x = 1,321,532.20
  5. Step 5: Solve for x
    x = 1,321,532.20/1,790.57
  6. Step 6: Final answer
    x = 738.05

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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.