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Finding the Fourth Proportional to 1,221.30, 1,830.49 and 701.66

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Solution

The fourth proportional to 1,221.30, 1,830.49 and 701.66 is: 1,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.30 : 1,830.49 = 701.66 : x
  2. Step 2: Convert to fraction form
    1,221.30/1,830.49 = 701.66/x
  3. Step 3: Cross multiply
    1,221.30x = 1,830.49 × 701.66
  4. Step 4: Simplify right side
    1,221.30x = 1,284,384.44
  5. Step 5: Solve for x
    x = 1,284,384.44/1,221.30
  6. Step 6: Final answer
    x = 1,051.65

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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.