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Finding the Fourth Proportional to 519.74, 779.45 and 173.00

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Solution

The fourth proportional to 519.74, 779.45 and 173.00 is: 259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.74 : 779.45 = 173.00 : x
  2. Step 2: Convert to fraction form
    519.74/779.45 = 173.00/x
  3. Step 3: Cross multiply
    519.74x = 779.45 × 173.00
  4. Step 4: Simplify right side
    519.74x = 134,841.24
  5. Step 5: Solve for x
    x = 134,841.24/519.74
  6. Step 6: Final answer
    x = 259.44

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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.