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Finding the Fourth Proportional to 1,321.50, 1,982.28 and 397.08

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Solution

The fourth proportional to 1,321.50, 1,982.28 and 397.08 is: 595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.50 : 1,982.28 = 397.08 : x
  2. Step 2: Convert to fraction form
    1,321.50/1,982.28 = 397.08/x
  3. Step 3: Cross multiply
    1,321.50x = 1,982.28 × 397.08
  4. Step 4: Simplify right side
    1,321.50x = 787,123.74
  5. Step 5: Solve for x
    x = 787,123.74/1,321.50
  6. Step 6: Final answer
    x = 595.63

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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.