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Finding the Fourth Proportional to 628.88, 942.47 and 519.88

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Solution

The fourth proportional to 628.88, 942.47 and 519.88 is: 779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 942.47 = 519.88 : x
  2. Step 2: Convert to fraction form
    628.88/942.47 = 519.88/x
  3. Step 3: Cross multiply
    628.88x = 942.47 × 519.88
  4. Step 4: Simplify right side
    628.88x = 489,971.30
  5. Step 5: Solve for x
    x = 489,971.30/628.88
  6. Step 6: Final answer
    x = 779.12

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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.