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Finding the Fourth Proportional to 1,122.79, 1,684.23 and 353.29

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Solution

The fourth proportional to 1,122.79, 1,684.23 and 353.29 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.79 : 1,684.23 = 353.29 : x
  2. Step 2: Convert to fraction form
    1,122.79/1,684.23 = 353.29/x
  3. Step 3: Cross multiply
    1,122.79x = 1,684.23 × 353.29
  4. Step 4: Simplify right side
    1,122.79x = 595,021.62
  5. Step 5: Solve for x
    x = 595,021.62/1,122.79
  6. Step 6: Final answer
    x = 529.95

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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.