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Finding the Fourth Proportional to 619.70, 855.18 and 357.71

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Solution

The fourth proportional to 619.70, 855.18 and 357.71 is: 493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.70 : 855.18 = 357.71 : x
  2. Step 2: Convert to fraction form
    619.70/855.18 = 357.71/x
  3. Step 3: Cross multiply
    619.70x = 855.18 × 357.71
  4. Step 4: Simplify right side
    619.70x = 305,912.34
  5. Step 5: Solve for x
    x = 305,912.34/619.70
  6. Step 6: Final answer
    x = 493.65

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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.