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Finding the Fourth Proportional to 1,798.08, 2,695.80 and 758.04

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Solution

The fourth proportional to 1,798.08, 2,695.80 and 758.04 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.08 : 2,695.80 = 758.04 : x
  2. Step 2: Convert to fraction form
    1,798.08/2,695.80 = 758.04/x
  3. Step 3: Cross multiply
    1,798.08x = 2,695.80 × 758.04
  4. Step 4: Simplify right side
    1,798.08x = 2,043,524.23
  5. Step 5: Solve for x
    x = 2,043,524.23/1,798.08
  6. Step 6: Final answer
    x = 1,136.50

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1.5x scale

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.