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Finding the Fourth Proportional to 806.24, 1,202.90 and 718.54

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Solution

The fourth proportional to 806.24, 1,202.90 and 718.54 is: 1,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.24 : 1,202.90 = 718.54 : x
  2. Step 2: Convert to fraction form
    806.24/1,202.90 = 718.54/x
  3. Step 3: Cross multiply
    806.24x = 1,202.90 × 718.54
  4. Step 4: Simplify right side
    806.24x = 864,325.17
  5. Step 5: Solve for x
    x = 864,325.17/806.24
  6. Step 6: Final answer
    x = 1,072.04

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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.