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Finding the Fourth Proportional to 1,079.52, 1,619.21 and 349.03

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Solution

The fourth proportional to 1,079.52, 1,619.21 and 349.03 is: 523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,619.21 = 349.03 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,619.21 = 349.03/x
  3. Step 3: Cross multiply
    1,079.52x = 1,619.21 × 349.03
  4. Step 4: Simplify right side
    1,079.52x = 565,151.12
  5. Step 5: Solve for x
    x = 565,151.12/1,079.52
  6. Step 6: Final answer
    x = 523.52

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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.