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Finding the Fourth Proportional to 725.26, 1,000.38 and 463.60

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Solution

The fourth proportional to 725.26, 1,000.38 and 463.60 is: 639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.26 : 1,000.38 = 463.60 : x
  2. Step 2: Convert to fraction form
    725.26/1,000.38 = 463.60/x
  3. Step 3: Cross multiply
    725.26x = 1,000.38 × 463.60
  4. Step 4: Simplify right side
    725.26x = 463,776.17
  5. Step 5: Solve for x
    x = 463,776.17/725.26
  6. Step 6: Final answer
    x = 639.46

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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.