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Finding the Fourth Proportional to 725.20, 1,000.42 and 430.26

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Solution

The fourth proportional to 725.20, 1,000.42 and 430.26 is: 593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.20 : 1,000.42 = 430.26 : x
  2. Step 2: Convert to fraction form
    725.20/1,000.42 = 430.26/x
  3. Step 3: Cross multiply
    725.20x = 1,000.42 × 430.26
  4. Step 4: Simplify right side
    725.20x = 430,435.35
  5. Step 5: Solve for x
    x = 430,435.35/725.20
  6. Step 6: Final answer
    x = 593.54

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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.