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Finding the Fourth Proportional to 922.78, 1,383.37 and 402.39

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Solution

The fourth proportional to 922.78, 1,383.37 and 402.39 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.78 : 1,383.37 = 402.39 : x
  2. Step 2: Convert to fraction form
    922.78/1,383.37 = 402.39/x
  3. Step 3: Cross multiply
    922.78x = 1,383.37 × 402.39
  4. Step 4: Simplify right side
    922.78x = 556,654.25
  5. Step 5: Solve for x
    x = 556,654.25/922.78
  6. Step 6: Final answer
    x = 603.24

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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.