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Finding the Fourth Proportional to 1,323.19, 1,984.78 and 349.28

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Solution

The fourth proportional to 1,323.19, 1,984.78 and 349.28 is: 523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.19 : 1,984.78 = 349.28 : x
  2. Step 2: Convert to fraction form
    1,323.19/1,984.78 = 349.28/x
  3. Step 3: Cross multiply
    1,323.19x = 1,984.78 × 349.28
  4. Step 4: Simplify right side
    1,323.19x = 693,248.05
  5. Step 5: Solve for x
    x = 693,248.05/1,323.19
  6. Step 6: Final answer
    x = 523.92

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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.