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Finding the Fourth Proportional to 862.24, 1,293.42 and 496.87

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Solution

The fourth proportional to 862.24, 1,293.42 and 496.87 is: 745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.24 : 1,293.42 = 496.87 : x
  2. Step 2: Convert to fraction form
    862.24/1,293.42 = 496.87/x
  3. Step 3: Cross multiply
    862.24x = 1,293.42 × 496.87
  4. Step 4: Simplify right side
    862.24x = 642,661.60
  5. Step 5: Solve for x
    x = 642,661.60/862.24
  6. Step 6: Final answer
    x = 745.34

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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.