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Finding the Fourth Proportional to 1,214.11, 1,675.27 and 682.93

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Solution

The fourth proportional to 1,214.11, 1,675.27 and 682.93 is: 942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.11 : 1,675.27 = 682.93 : x
  2. Step 2: Convert to fraction form
    1,214.11/1,675.27 = 682.93/x
  3. Step 3: Cross multiply
    1,214.11x = 1,675.27 × 682.93
  4. Step 4: Simplify right side
    1,214.11x = 1,144,092.14
  5. Step 5: Solve for x
    x = 1,144,092.14/1,214.11
  6. Step 6: Final answer
    x = 942.33

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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.