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Finding the Fourth Proportional to 619.76, 929.69 and 208.73

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Solution

The fourth proportional to 619.76, 929.69 and 208.73 is: 313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 929.69 = 208.73 : x
  2. Step 2: Convert to fraction form
    619.76/929.69 = 208.73/x
  3. Step 3: Cross multiply
    619.76x = 929.69 × 208.73
  4. Step 4: Simplify right side
    619.76x = 194,048.50
  5. Step 5: Solve for x
    x = 194,048.50/619.76
  6. Step 6: Final answer
    x = 313.11

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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.