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Finding the Fourth Proportional to 1,328.42, 1,992.64 and 354.66

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Solution

The fourth proportional to 1,328.42, 1,992.64 and 354.66 is: 531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.42 : 1,992.64 = 354.66 : x
  2. Step 2: Convert to fraction form
    1,328.42/1,992.64 = 354.66/x
  3. Step 3: Cross multiply
    1,328.42x = 1,992.64 × 354.66
  4. Step 4: Simplify right side
    1,328.42x = 706,709.70
  5. Step 5: Solve for x
    x = 706,709.70/1,328.42
  6. Step 6: Final answer
    x = 531.99

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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.