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Finding the Fourth Proportional to 806.02, 1,208.07 and 372.25

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Solution

The fourth proportional to 806.02, 1,208.07 and 372.25 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.02 : 1,208.07 = 372.25 : x
  2. Step 2: Convert to fraction form
    806.02/1,208.07 = 372.25/x
  3. Step 3: Cross multiply
    806.02x = 1,208.07 × 372.25
  4. Step 4: Simplify right side
    806.02x = 449,704.06
  5. Step 5: Solve for x
    x = 449,704.06/806.02
  6. Step 6: Final answer
    x = 557.93

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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.