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Finding the Fourth Proportional to 523.68, 782.34 and 485.52

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Solution

The fourth proportional to 523.68, 782.34 and 485.52 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.68 : 782.34 = 485.52 : x
  2. Step 2: Convert to fraction form
    523.68/782.34 = 485.52/x
  3. Step 3: Cross multiply
    523.68x = 782.34 × 485.52
  4. Step 4: Simplify right side
    523.68x = 379,841.72
  5. Step 5: Solve for x
    x = 379,841.72/523.68
  6. Step 6: Final answer
    x = 725.33

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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.