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Finding the Fourth Proportional to 1,982.57, 2,972.97 and 595.45

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Solution

The fourth proportional to 1,982.57, 2,972.97 and 595.45 is: 892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.57 : 2,972.97 = 595.45 : x
  2. Step 2: Convert to fraction form
    1,982.57/2,972.97 = 595.45/x
  3. Step 3: Cross multiply
    1,982.57x = 2,972.97 × 595.45
  4. Step 4: Simplify right side
    1,982.57x = 1,770,247.55
  5. Step 5: Solve for x
    x = 1,770,247.55/1,982.57
  6. Step 6: Final answer
    x = 892.90

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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.