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Finding the Fourth Proportional to 519.23, 782.74 and 484.86

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Solution

The fourth proportional to 519.23, 782.74 and 484.86 is: 730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.23 : 782.74 = 484.86 : x
  2. Step 2: Convert to fraction form
    519.23/782.74 = 484.86/x
  3. Step 3: Cross multiply
    519.23x = 782.74 × 484.86
  4. Step 4: Simplify right side
    519.23x = 379,519.32
  5. Step 5: Solve for x
    x = 379,519.32/519.23
  6. Step 6: Final answer
    x = 730.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.