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Finding the Fourth Proportional to 725.42, 1,000.50 and 430.40

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Solution

The fourth proportional to 725.42, 1,000.50 and 430.40 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.42 : 1,000.50 = 430.40 : x
  2. Step 2: Convert to fraction form
    725.42/1,000.50 = 430.40/x
  3. Step 3: Cross multiply
    725.42x = 1,000.50 × 430.40
  4. Step 4: Simplify right side
    725.42x = 430,615.20
  5. Step 5: Solve for x
    x = 430,615.20/725.42
  6. Step 6: Final answer
    x = 593.61

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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.