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Finding the Fourth Proportional to 619.98, 930.12 and 511.57

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Solution

The fourth proportional to 619.98, 930.12 and 511.57 is: 767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.98 : 930.12 = 511.57 : x
  2. Step 2: Convert to fraction form
    619.98/930.12 = 511.57/x
  3. Step 3: Cross multiply
    619.98x = 930.12 × 511.57
  4. Step 4: Simplify right side
    619.98x = 475,821.49
  5. Step 5: Solve for x
    x = 475,821.49/619.98
  6. Step 6: Final answer
    x = 767.48

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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.