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Finding the Fourth Proportional to 1,015.26, 1,522.71 and 357.23

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Solution

The fourth proportional to 1,015.26, 1,522.71 and 357.23 is: 535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.26 : 1,522.71 = 357.23 : x
  2. Step 2: Convert to fraction form
    1,015.26/1,522.71 = 357.23/x
  3. Step 3: Cross multiply
    1,015.26x = 1,522.71 × 357.23
  4. Step 4: Simplify right side
    1,015.26x = 543,957.69
  5. Step 5: Solve for x
    x = 543,957.69/1,015.26
  6. Step 6: Final answer
    x = 535.78

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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.