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Finding the Fourth Proportional to 1,079.91, 1,620 and 349.38

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Solution

The fourth proportional to 1,079.91, 1,620 and 349.38 is: 524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.91 : 1,620 = 349.38 : x
  2. Step 2: Convert to fraction form
    1,079.91/1,620 = 349.38/x
  3. Step 3: Cross multiply
    1,079.91x = 1,620 × 349.38
  4. Step 4: Simplify right side
    1,079.91x = 565,995.60
  5. Step 5: Solve for x
    x = 565,995.60/1,079.91
  6. Step 6: Final answer
    x = 524.11

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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.