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Finding the Fourth Proportional to 562.26, 838.43 and 523.30

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Solution

The fourth proportional to 562.26, 838.43 and 523.30 is: 780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 838.43 = 523.30 : x
  2. Step 2: Convert to fraction form
    562.26/838.43 = 523.30/x
  3. Step 3: Cross multiply
    562.26x = 838.43 × 523.30
  4. Step 4: Simplify right side
    562.26x = 438,750.42
  5. Step 5: Solve for x
    x = 438,750.42/562.26
  6. Step 6: Final answer
    x = 780.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.