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Finding the Fourth Proportional to 995.30, 1,370.56 and 786.32

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Solution

The fourth proportional to 995.30, 1,370.56 and 786.32 is: 1,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.30 : 1,370.56 = 786.32 : x
  2. Step 2: Convert to fraction form
    995.30/1,370.56 = 786.32/x
  3. Step 3: Cross multiply
    995.30x = 1,370.56 × 786.32
  4. Step 4: Simplify right side
    995.30x = 1,077,698.74
  5. Step 5: Solve for x
    x = 1,077,698.74/995.30
  6. Step 6: Final answer
    x = 1,082.79

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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.