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Finding the Fourth Proportional to 922.14, 1,388.34 and 680.40

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Solution

The fourth proportional to 922.14, 1,388.34 and 680.40 is: 1,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.14 : 1,388.34 = 680.40 : x
  2. Step 2: Convert to fraction form
    922.14/1,388.34 = 680.40/x
  3. Step 3: Cross multiply
    922.14x = 1,388.34 × 680.40
  4. Step 4: Simplify right side
    922.14x = 944,626.54
  5. Step 5: Solve for x
    x = 944,626.54/922.14
  6. Step 6: Final answer
    x = 1,024.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.