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Finding the Fourth Proportional to 1,321.90, 1,982.96 and 348

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Solution

The fourth proportional to 1,321.90, 1,982.96 and 348 is: 522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.90 : 1,982.96 = 348 : x
  2. Step 2: Convert to fraction form
    1,321.90/1,982.96 = 348/x
  3. Step 3: Cross multiply
    1,321.90x = 1,982.96 × 348
  4. Step 4: Simplify right side
    1,321.90x = 690,070.08
  5. Step 5: Solve for x
    x = 690,070.08/1,321.90
  6. Step 6: Final answer
    x = 522.03

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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.