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Finding the Fourth Proportional to 1,204.73, 1,807.87 and 474.34

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Solution

The fourth proportional to 1,204.73, 1,807.87 and 474.34 is: 711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.73 : 1,807.87 = 474.34 : x
  2. Step 2: Convert to fraction form
    1,204.73/1,807.87 = 474.34/x
  3. Step 3: Cross multiply
    1,204.73x = 1,807.87 × 474.34
  4. Step 4: Simplify right side
    1,204.73x = 857,545.06
  5. Step 5: Solve for x
    x = 857,545.06/1,204.73
  6. Step 6: Final answer
    x = 711.82

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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.