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Finding the Fourth Proportional to 862.22, 1,294.24 and 537.81

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Solution

The fourth proportional to 862.22, 1,294.24 and 537.81 is: 807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.22 : 1,294.24 = 537.81 : x
  2. Step 2: Convert to fraction form
    862.22/1,294.24 = 537.81/x
  3. Step 3: Cross multiply
    862.22x = 1,294.24 × 537.81
  4. Step 4: Simplify right side
    862.22x = 696,055.21
  5. Step 5: Solve for x
    x = 696,055.21/862.22
  6. Step 6: Final answer
    x = 807.28

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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.