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Finding the Fourth Proportional to 903.44, 1,346.10 and 806.42

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Solution

The fourth proportional to 903.44, 1,346.10 and 806.42 is: 1,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.44 : 1,346.10 = 806.42 : x
  2. Step 2: Convert to fraction form
    903.44/1,346.10 = 806.42/x
  3. Step 3: Cross multiply
    903.44x = 1,346.10 × 806.42
  4. Step 4: Simplify right side
    903.44x = 1,085,521.96
  5. Step 5: Solve for x
    x = 1,085,521.96/903.44
  6. Step 6: Final answer
    x = 1,201.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.