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Finding the Fourth Proportional to 1,213.08, 1,821.44 and 693.66

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Solution

The fourth proportional to 1,213.08, 1,821.44 and 693.66 is: 1,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.08 : 1,821.44 = 693.66 : x
  2. Step 2: Convert to fraction form
    1,213.08/1,821.44 = 693.66/x
  3. Step 3: Cross multiply
    1,213.08x = 1,821.44 × 693.66
  4. Step 4: Simplify right side
    1,213.08x = 1,263,460.07
  5. Step 5: Solve for x
    x = 1,263,460.07/1,213.08
  6. Step 6: Final answer
    x = 1,041.53

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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.