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Finding the Fourth Proportional to 1,129.79, 1,694.20 and 389.47

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Solution

The fourth proportional to 1,129.79, 1,694.20 and 389.47 is: 584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.79 : 1,694.20 = 389.47 : x
  2. Step 2: Convert to fraction form
    1,129.79/1,694.20 = 389.47/x
  3. Step 3: Cross multiply
    1,129.79x = 1,694.20 × 389.47
  4. Step 4: Simplify right side
    1,129.79x = 659,834.86
  5. Step 5: Solve for x
    x = 659,834.86/1,129.79
  6. Step 6: Final answer
    x = 584.04

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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.