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Finding the Fourth Proportional to 725.90, 1,000.74 and 460.20

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Solution

The fourth proportional to 725.90, 1,000.74 and 460.20 is: 634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.90 : 1,000.74 = 460.20 : x
  2. Step 2: Convert to fraction form
    725.90/1,000.74 = 460.20/x
  3. Step 3: Cross multiply
    725.90x = 1,000.74 × 460.20
  4. Step 4: Simplify right side
    725.90x = 460,540.55
  5. Step 5: Solve for x
    x = 460,540.55/725.90
  6. Step 6: Final answer
    x = 634.44

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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.