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Finding the Fourth Proportional to 1,321.60, 1,982.04 and 347.44

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Solution

The fourth proportional to 1,321.60, 1,982.04 and 347.44 is: 521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.60 : 1,982.04 = 347.44 : x
  2. Step 2: Convert to fraction form
    1,321.60/1,982.04 = 347.44/x
  3. Step 3: Cross multiply
    1,321.60x = 1,982.04 × 347.44
  4. Step 4: Simplify right side
    1,321.60x = 688,639.98
  5. Step 5: Solve for x
    x = 688,639.98/1,321.60
  6. Step 6: Final answer
    x = 521.07

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1.5x scale

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.