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Finding the Fourth Proportional to 1,285.97, 1,930.05 and 506.52

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Solution

The fourth proportional to 1,285.97, 1,930.05 and 506.52 is: 760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.97 : 1,930.05 = 506.52 : x
  2. Step 2: Convert to fraction form
    1,285.97/1,930.05 = 506.52/x
  3. Step 3: Cross multiply
    1,285.97x = 1,930.05 × 506.52
  4. Step 4: Simplify right side
    1,285.97x = 977,608.93
  5. Step 5: Solve for x
    x = 977,608.93/1,285.97
  6. Step 6: Final answer
    x = 760.21

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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.