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Finding the Fourth Proportional to 620.58, 929.50 and 254.26

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Solution

The fourth proportional to 620.58, 929.50 and 254.26 is: 380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.58 : 929.50 = 254.26 : x
  2. Step 2: Convert to fraction form
    620.58/929.50 = 254.26/x
  3. Step 3: Cross multiply
    620.58x = 929.50 × 254.26
  4. Step 4: Simplify right side
    620.58x = 236,334.67
  5. Step 5: Solve for x
    x = 236,334.67/620.58
  6. Step 6: Final answer
    x = 380.83

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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.