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Finding the Fourth Proportional to 523.61, 720.92 and 444.75

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Solution

The fourth proportional to 523.61, 720.92 and 444.75 is: 612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 720.92 = 444.75 : x
  2. Step 2: Convert to fraction form
    523.61/720.92 = 444.75/x
  3. Step 3: Cross multiply
    523.61x = 720.92 × 444.75
  4. Step 4: Simplify right side
    523.61x = 320,626.95
  5. Step 5: Solve for x
    x = 320,626.95/523.61
  6. Step 6: Final answer
    x = 612.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.