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Finding the Fourth Proportional to 1,221.50, 1,820.66 and 1,150.50

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Solution

The fourth proportional to 1,221.50, 1,820.66 and 1,150.50 is: 1,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.50 : 1,820.66 = 1,150.50 : x
  2. Step 2: Convert to fraction form
    1,221.50/1,820.66 = 1,150.50/x
  3. Step 3: Cross multiply
    1,221.50x = 1,820.66 × 1,150.50
  4. Step 4: Simplify right side
    1,221.50x = 2,094,669.33
  5. Step 5: Solve for x
    x = 2,094,669.33/1,221.50
  6. Step 6: Final answer
    x = 1,714.83

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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.