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Finding the Fourth Proportional to 1,328.21, 1,992.16 and 354.39

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Solution

The fourth proportional to 1,328.21, 1,992.16 and 354.39 is: 531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.21 : 1,992.16 = 354.39 : x
  2. Step 2: Convert to fraction form
    1,328.21/1,992.16 = 354.39/x
  3. Step 3: Cross multiply
    1,328.21x = 1,992.16 × 354.39
  4. Step 4: Simplify right side
    1,328.21x = 705,994.55
  5. Step 5: Solve for x
    x = 705,994.55/1,328.21
  6. Step 6: Final answer
    x = 531.54

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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.