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Finding the Fourth Proportional to 995.97, 1,374.53 and 785.64

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Solution

The fourth proportional to 995.97, 1,374.53 and 785.64 is: 1,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.97 : 1,374.53 = 785.64 : x
  2. Step 2: Convert to fraction form
    995.97/1,374.53 = 785.64/x
  3. Step 3: Cross multiply
    995.97x = 1,374.53 × 785.64
  4. Step 4: Simplify right side
    995.97x = 1,079,881.82
  5. Step 5: Solve for x
    x = 1,079,881.82/995.97
  6. Step 6: Final answer
    x = 1,084.25

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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.