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Finding the Fourth Proportional to 884.45, 1,321.60 and 675.07

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Solution

The fourth proportional to 884.45, 1,321.60 and 675.07 is: 1,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.45 : 1,321.60 = 675.07 : x
  2. Step 2: Convert to fraction form
    884.45/1,321.60 = 675.07/x
  3. Step 3: Cross multiply
    884.45x = 1,321.60 × 675.07
  4. Step 4: Simplify right side
    884.45x = 892,168.79
  5. Step 5: Solve for x
    x = 892,168.79/884.45
  6. Step 6: Final answer
    x = 1,008.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.