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Finding the Fourth Proportional to 725.06, 1,085.84 and 359.34

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Solution

The fourth proportional to 725.06, 1,085.84 and 359.34 is: 538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.06 : 1,085.84 = 359.34 : x
  2. Step 2: Convert to fraction form
    725.06/1,085.84 = 359.34/x
  3. Step 3: Cross multiply
    725.06x = 1,085.84 × 359.34
  4. Step 4: Simplify right side
    725.06x = 390,185.75
  5. Step 5: Solve for x
    x = 390,185.75/725.06
  6. Step 6: Final answer
    x = 538.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.