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Finding the Fourth Proportional to 926.24, 1,388.04 and 683.12

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Solution

The fourth proportional to 926.24, 1,388.04 and 683.12 is: 1,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.24 : 1,388.04 = 683.12 : x
  2. Step 2: Convert to fraction form
    926.24/1,388.04 = 683.12/x
  3. Step 3: Cross multiply
    926.24x = 1,388.04 × 683.12
  4. Step 4: Simplify right side
    926.24x = 948,197.88
  5. Step 5: Solve for x
    x = 948,197.88/926.24
  6. Step 6: Final answer
    x = 1,023.71

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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.