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Finding the Fourth Proportional to 1,321.17, 1,981.77 and 347.37

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Solution

The fourth proportional to 1,321.17, 1,981.77 and 347.37 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.17 : 1,981.77 = 347.37 : x
  2. Step 2: Convert to fraction form
    1,321.17/1,981.77 = 347.37/x
  3. Step 3: Cross multiply
    1,321.17x = 1,981.77 × 347.37
  4. Step 4: Simplify right side
    1,321.17x = 688,407.44
  5. Step 5: Solve for x
    x = 688,407.44/1,321.17
  6. Step 6: Final answer
    x = 521.06

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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.