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Finding the Fourth Proportional to 1,213.93, 1,675.18 and 742.62

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Solution

The fourth proportional to 1,213.93, 1,675.18 and 742.62 is: 1,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.93 : 1,675.18 = 742.62 : x
  2. Step 2: Convert to fraction form
    1,213.93/1,675.18 = 742.62/x
  3. Step 3: Cross multiply
    1,213.93x = 1,675.18 × 742.62
  4. Step 4: Simplify right side
    1,213.93x = 1,244,022.17
  5. Step 5: Solve for x
    x = 1,244,022.17/1,213.93
  6. Step 6: Final answer
    x = 1,024.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.