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Finding the Fourth Proportional to 1,204.49, 1,807.04 and 338.80

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Solution

The fourth proportional to 1,204.49, 1,807.04 and 338.80 is: 508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.49 : 1,807.04 = 338.80 : x
  2. Step 2: Convert to fraction form
    1,204.49/1,807.04 = 338.80/x
  3. Step 3: Cross multiply
    1,204.49x = 1,807.04 × 338.80
  4. Step 4: Simplify right side
    1,204.49x = 612,225.15
  5. Step 5: Solve for x
    x = 612,225.15/1,204.49
  6. Step 6: Final answer
    x = 508.29

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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.