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Finding the Fourth Proportional to 1,214.62, 1,675.96 and 742.79

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Solution

The fourth proportional to 1,214.62, 1,675.96 and 742.79 is: 1,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.62 : 1,675.96 = 742.79 : x
  2. Step 2: Convert to fraction form
    1,214.62/1,675.96 = 742.79/x
  3. Step 3: Cross multiply
    1,214.62x = 1,675.96 × 742.79
  4. Step 4: Simplify right side
    1,214.62x = 1,244,888.66
  5. Step 5: Solve for x
    x = 1,244,888.66/1,214.62
  6. Step 6: Final answer
    x = 1,024.92

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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.