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Finding the Fourth Proportional to 520.23, 717.38 and 333.74

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Solution

The fourth proportional to 520.23, 717.38 and 333.74 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 717.38 = 333.74 : x
  2. Step 2: Convert to fraction form
    520.23/717.38 = 333.74/x
  3. Step 3: Cross multiply
    520.23x = 717.38 × 333.74
  4. Step 4: Simplify right side
    520.23x = 239,413.15
  5. Step 5: Solve for x
    x = 239,413.15/520.23
  6. Step 6: Final answer
    x = 460.21

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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.