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Finding the Fourth Proportional to 620, 929.47 and 254.56

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Solution

The fourth proportional to 620, 929.47 and 254.56 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    620 : 929.47 = 254.56 : x
  2. Step 2: Convert to fraction form
    620/929.47 = 254.56/x
  3. Step 3: Cross multiply
    620x = 929.47 × 254.56
  4. Step 4: Simplify right side
    620x = 236,605.88
  5. Step 5: Solve for x
    x = 236,605.88/620
  6. Step 6: Final answer
    x = 381.62

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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.