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Finding the Fourth Proportional to 865.79, 1,200.95 and 836.30

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Solution

The fourth proportional to 865.79, 1,200.95 and 836.30 is: 1,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.79 : 1,200.95 = 836.30 : x
  2. Step 2: Convert to fraction form
    865.79/1,200.95 = 836.30/x
  3. Step 3: Cross multiply
    865.79x = 1,200.95 × 836.30
  4. Step 4: Simplify right side
    865.79x = 1,004,344.30
  5. Step 5: Solve for x
    x = 1,004,344.30/865.79
  6. Step 6: Final answer
    x = 1,160.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.