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Finding the Fourth Proportional to 922.08, 1,383.07 and 556.77

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Solution

The fourth proportional to 922.08, 1,383.07 and 556.77 is: 835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.08 : 1,383.07 = 556.77 : x
  2. Step 2: Convert to fraction form
    922.08/1,383.07 = 556.77/x
  3. Step 3: Cross multiply
    922.08x = 1,383.07 × 556.77
  4. Step 4: Simplify right side
    922.08x = 770,049.10
  5. Step 5: Solve for x
    x = 770,049.10/922.08
  6. Step 6: Final answer
    x = 835.12

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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.