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Finding the Fourth Proportional to 1,434.62, 2,151.52 and 394.36

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Solution

The fourth proportional to 1,434.62, 2,151.52 and 394.36 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.62 : 2,151.52 = 394.36 : x
  2. Step 2: Convert to fraction form
    1,434.62/2,151.52 = 394.36/x
  3. Step 3: Cross multiply
    1,434.62x = 2,151.52 × 394.36
  4. Step 4: Simplify right side
    1,434.62x = 848,473.43
  5. Step 5: Solve for x
    x = 848,473.43/1,434.62
  6. Step 6: Final answer
    x = 591.43

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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.