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Finding the Fourth Proportional to 1,091.51, 1,638.06 and 818.34

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Solution

The fourth proportional to 1,091.51, 1,638.06 and 818.34 is: 1,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.51 : 1,638.06 = 818.34 : x
  2. Step 2: Convert to fraction form
    1,091.51/1,638.06 = 818.34/x
  3. Step 3: Cross multiply
    1,091.51x = 1,638.06 × 818.34
  4. Step 4: Simplify right side
    1,091.51x = 1,340,480.81
  5. Step 5: Solve for x
    x = 1,340,480.81/1,091.51
  6. Step 6: Final answer
    x = 1,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.