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Finding the Fourth Proportional to 2,332.78, 3,499.24 and 601.41

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Solution

The fourth proportional to 2,332.78, 3,499.24 and 601.41 is: 902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.78 : 3,499.24 = 601.41 : x
  2. Step 2: Convert to fraction form
    2,332.78/3,499.24 = 601.41/x
  3. Step 3: Cross multiply
    2,332.78x = 3,499.24 × 601.41
  4. Step 4: Simplify right side
    2,332.78x = 2,104,464.43
  5. Step 5: Solve for x
    x = 2,104,464.43/2,332.78
  6. Step 6: Final answer
    x = 902.13

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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.