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Finding the Fourth Proportional to 1,818.21, 2,727.45 and 648.45

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Solution

The fourth proportional to 1,818.21, 2,727.45 and 648.45 is: 972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.21 : 2,727.45 = 648.45 : x
  2. Step 2: Convert to fraction form
    1,818.21/2,727.45 = 648.45/x
  3. Step 3: Cross multiply
    1,818.21x = 2,727.45 × 648.45
  4. Step 4: Simplify right side
    1,818.21x = 1,768,614.95
  5. Step 5: Solve for x
    x = 1,768,614.95/1,818.21
  6. Step 6: Final answer
    x = 972.72

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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.