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Finding the Fourth Proportional to 922.85, 1,383.36 and 511.11

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Solution

The fourth proportional to 922.85, 1,383.36 and 511.11 is: 766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.85 : 1,383.36 = 511.11 : x
  2. Step 2: Convert to fraction form
    922.85/1,383.36 = 511.11/x
  3. Step 3: Cross multiply
    922.85x = 1,383.36 × 511.11
  4. Step 4: Simplify right side
    922.85x = 707,047.21
  5. Step 5: Solve for x
    x = 707,047.21/922.85
  6. Step 6: Final answer
    x = 766.16

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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.