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Finding the Fourth Proportional to 999.90, 1,380.46 and 646.44

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Solution

The fourth proportional to 999.90, 1,380.46 and 646.44 is: 892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.90 : 1,380.46 = 646.44 : x
  2. Step 2: Convert to fraction form
    999.90/1,380.46 = 646.44/x
  3. Step 3: Cross multiply
    999.90x = 1,380.46 × 646.44
  4. Step 4: Simplify right side
    999.90x = 892,384.56
  5. Step 5: Solve for x
    x = 892,384.56/999.90
  6. Step 6: Final answer
    x = 892.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.