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Finding the Fourth Proportional to 1,820.66, 2,731.11 and 650.54

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Solution

The fourth proportional to 1,820.66, 2,731.11 and 650.54 is: 975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.66 : 2,731.11 = 650.54 : x
  2. Step 2: Convert to fraction form
    1,820.66/2,731.11 = 650.54/x
  3. Step 3: Cross multiply
    1,820.66x = 2,731.11 × 650.54
  4. Step 4: Simplify right side
    1,820.66x = 1,776,696.30
  5. Step 5: Solve for x
    x = 1,776,696.30/1,820.66
  6. Step 6: Final answer
    x = 975.85

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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.