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Finding the Fourth Proportional to 619.76, 927.78 and 345.16

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Solution

The fourth proportional to 619.76, 927.78 and 345.16 is: 516.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.76 : 927.78 = 345.16 : x
  2. Step 2: Convert to fraction form
    619.76/927.78 = 345.16/x
  3. Step 3: Cross multiply
    619.76x = 927.78 × 345.16
  4. Step 4: Simplify right side
    619.76x = 320,232.54
  5. Step 5: Solve for x
    x = 320,232.54/619.76
  6. Step 6: Final answer
    x = 516.70

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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.