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Finding the Fourth Proportional to 818.41, 1,222.39 and 709.06

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Solution

The fourth proportional to 818.41, 1,222.39 and 709.06 is: 1,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.41 : 1,222.39 = 709.06 : x
  2. Step 2: Convert to fraction form
    818.41/1,222.39 = 709.06/x
  3. Step 3: Cross multiply
    818.41x = 1,222.39 × 709.06
  4. Step 4: Simplify right side
    818.41x = 866,746.26
  5. Step 5: Solve for x
    x = 866,746.26/818.41
  6. Step 6: Final answer
    x = 1,059.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.