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Finding the Fourth Proportional to 1,820.15, 2,730.49 and 665.63

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Solution

The fourth proportional to 1,820.15, 2,730.49 and 665.63 is: 998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.15 : 2,730.49 = 665.63 : x
  2. Step 2: Convert to fraction form
    1,820.15/2,730.49 = 665.63/x
  3. Step 3: Cross multiply
    1,820.15x = 2,730.49 × 665.63
  4. Step 4: Simplify right side
    1,820.15x = 1,817,480.74
  5. Step 5: Solve for x
    x = 1,817,480.74/1,820.15
  6. Step 6: Final answer
    x = 998.54

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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.