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Finding the Fourth Proportional to 523.02, 785.34 and 407.73

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Solution

The fourth proportional to 523.02, 785.34 and 407.73 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.02 : 785.34 = 407.73 : x
  2. Step 2: Convert to fraction form
    523.02/785.34 = 407.73/x
  3. Step 3: Cross multiply
    523.02x = 785.34 × 407.73
  4. Step 4: Simplify right side
    523.02x = 320,206.68
  5. Step 5: Solve for x
    x = 320,206.68/523.02
  6. Step 6: Final answer
    x = 612.23

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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.