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Finding the Fourth Proportional to 922.53, 1,389.17 and 680.75

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Solution

The fourth proportional to 922.53, 1,389.17 and 680.75 is: 1,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.53 : 1,389.17 = 680.75 : x
  2. Step 2: Convert to fraction form
    922.53/1,389.17 = 680.75/x
  3. Step 3: Cross multiply
    922.53x = 1,389.17 × 680.75
  4. Step 4: Simplify right side
    922.53x = 945,667.13
  5. Step 5: Solve for x
    x = 945,667.13/922.53
  6. Step 6: Final answer
    x = 1,025.08

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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.