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Finding the Fourth Proportional to 1,221.48, 1,830.94 and 700.32

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Solution

The fourth proportional to 1,221.48, 1,830.94 and 700.32 is: 1,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.48 : 1,830.94 = 700.32 : x
  2. Step 2: Convert to fraction form
    1,221.48/1,830.94 = 700.32/x
  3. Step 3: Cross multiply
    1,221.48x = 1,830.94 × 700.32
  4. Step 4: Simplify right side
    1,221.48x = 1,282,243.90
  5. Step 5: Solve for x
    x = 1,282,243.90/1,221.48
  6. Step 6: Final answer
    x = 1,049.75

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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.