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Finding the Fourth Proportional to 1,084.87, 1,496.30 and 785.68

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Solution

The fourth proportional to 1,084.87, 1,496.30 and 785.68 is: 1,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.87 : 1,496.30 = 785.68 : x
  2. Step 2: Convert to fraction form
    1,084.87/1,496.30 = 785.68/x
  3. Step 3: Cross multiply
    1,084.87x = 1,496.30 × 785.68
  4. Step 4: Simplify right side
    1,084.87x = 1,175,612.98
  5. Step 5: Solve for x
    x = 1,175,612.98/1,084.87
  6. Step 6: Final answer
    x = 1,083.64

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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.