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Finding the Fourth Proportional to 892.36, 1,228.65 and 810.35

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Solution

The fourth proportional to 892.36, 1,228.65 and 810.35 is: 1,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.36 : 1,228.65 = 810.35 : x
  2. Step 2: Convert to fraction form
    892.36/1,228.65 = 810.35/x
  3. Step 3: Cross multiply
    892.36x = 1,228.65 × 810.35
  4. Step 4: Simplify right side
    892.36x = 995,630.38
  5. Step 5: Solve for x
    x = 995,630.38/892.36
  6. Step 6: Final answer
    x = 1,115.73

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1.5x scale

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.