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Finding the Fourth Proportional to 1,204.92, 1,807.38 and 383.27

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Solution

The fourth proportional to 1,204.92, 1,807.38 and 383.27 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.92 : 1,807.38 = 383.27 : x
  2. Step 2: Convert to fraction form
    1,204.92/1,807.38 = 383.27/x
  3. Step 3: Cross multiply
    1,204.92x = 1,807.38 × 383.27
  4. Step 4: Simplify right side
    1,204.92x = 692,705.50
  5. Step 5: Solve for x
    x = 692,705.50/1,204.92
  6. Step 6: Final answer
    x = 574.90

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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.