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Finding the Fourth Proportional to 785.74, 1,083.80 and 506.33

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Solution

The fourth proportional to 785.74, 1,083.80 and 506.33 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.74 : 1,083.80 = 506.33 : x
  2. Step 2: Convert to fraction form
    785.74/1,083.80 = 506.33/x
  3. Step 3: Cross multiply
    785.74x = 1,083.80 × 506.33
  4. Step 4: Simplify right side
    785.74x = 548,752.50
  5. Step 5: Solve for x
    x = 548,752.50/785.74
  6. Step 6: Final answer
    x = 698.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.