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Finding the Fourth Proportional to 1,323.52, 1,985.36 and 349.59

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Solution

The fourth proportional to 1,323.52, 1,985.36 and 349.59 is: 524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.52 : 1,985.36 = 349.59 : x
  2. Step 2: Convert to fraction form
    1,323.52/1,985.36 = 349.59/x
  3. Step 3: Cross multiply
    1,323.52x = 1,985.36 × 349.59
  4. Step 4: Simplify right side
    1,323.52x = 694,069.67
  5. Step 5: Solve for x
    x = 694,069.67/1,323.52
  6. Step 6: Final answer
    x = 524.41

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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.