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Finding the Fourth Proportional to 811.40, 1,222.56 and 734.45

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Solution

The fourth proportional to 811.40, 1,222.56 and 734.45 is: 1,106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.40 : 1,222.56 = 734.45 : x
  2. Step 2: Convert to fraction form
    811.40/1,222.56 = 734.45/x
  3. Step 3: Cross multiply
    811.40x = 1,222.56 × 734.45
  4. Step 4: Simplify right side
    811.40x = 897,903.08
  5. Step 5: Solve for x
    x = 897,903.08/811.40
  6. Step 6: Final answer
    x = 1,106.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.