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Finding the Fourth Proportional to 754.36, 1,129.70 and 522.60

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Solution

The fourth proportional to 754.36, 1,129.70 and 522.60 is: 782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,129.70 = 522.60 : x
  2. Step 2: Convert to fraction form
    754.36/1,129.70 = 522.60/x
  3. Step 3: Cross multiply
    754.36x = 1,129.70 × 522.60
  4. Step 4: Simplify right side
    754.36x = 590,375.57
  5. Step 5: Solve for x
    x = 590,375.57/754.36
  6. Step 6: Final answer
    x = 782.62

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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.