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Finding the Fourth Proportional to 811.28, 1,222.52 and 670.16

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Solution

The fourth proportional to 811.28, 1,222.52 and 670.16 is: 1,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.28 : 1,222.52 = 670.16 : x
  2. Step 2: Convert to fraction form
    811.28/1,222.52 = 670.16/x
  3. Step 3: Cross multiply
    811.28x = 1,222.52 × 670.16
  4. Step 4: Simplify right side
    811.28x = 819,284.00
  5. Step 5: Solve for x
    x = 819,284.00/811.28
  6. Step 6: Final answer
    x = 1,009.87

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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.