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Finding the Fourth Proportional to 725.10, 1,000.57 and 410.37

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Solution

The fourth proportional to 725.10, 1,000.57 and 410.37 is: 566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,000.57 = 410.37 : x
  2. Step 2: Convert to fraction form
    725.10/1,000.57 = 410.37/x
  3. Step 3: Cross multiply
    725.10x = 1,000.57 × 410.37
  4. Step 4: Simplify right side
    725.10x = 410,605.53
  5. Step 5: Solve for x
    x = 410,605.53/725.10
  6. Step 6: Final answer
    x = 566.27

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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.