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Finding the Fourth Proportional to 785.90, 1,084.49 and 506.05

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Solution

The fourth proportional to 785.90, 1,084.49 and 506.05 is: 698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.90 : 1,084.49 = 506.05 : x
  2. Step 2: Convert to fraction form
    785.90/1,084.49 = 506.05/x
  3. Step 3: Cross multiply
    785.90x = 1,084.49 × 506.05
  4. Step 4: Simplify right side
    785.90x = 548,802.82
  5. Step 5: Solve for x
    x = 548,802.82/785.90
  6. Step 6: Final answer
    x = 698.31

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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.