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Finding the Fourth Proportional to 912.76, 1,255.62 and 800.22

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Solution

The fourth proportional to 912.76, 1,255.62 and 800.22 is: 1,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.76 : 1,255.62 = 800.22 : x
  2. Step 2: Convert to fraction form
    912.76/1,255.62 = 800.22/x
  3. Step 3: Cross multiply
    912.76x = 1,255.62 × 800.22
  4. Step 4: Simplify right side
    912.76x = 1,004,774.24
  5. Step 5: Solve for x
    x = 1,004,774.24/912.76
  6. Step 6: Final answer
    x = 1,100.81

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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.