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Finding the Fourth Proportional to 523.43, 785.14 and 400.25

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Solution

The fourth proportional to 523.43, 785.14 and 400.25 is: 600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.43 : 785.14 = 400.25 : x
  2. Step 2: Convert to fraction form
    523.43/785.14 = 400.25/x
  3. Step 3: Cross multiply
    523.43x = 785.14 × 400.25
  4. Step 4: Simplify right side
    523.43x = 314,254.73
  5. Step 5: Solve for x
    x = 314,254.73/523.43
  6. Step 6: Final answer
    x = 600.37

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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.