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Finding the Fourth Proportional to 1,242.09, 1,714.05 and 682.57

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Solution

The fourth proportional to 1,242.09, 1,714.05 and 682.57 is: 941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.09 : 1,714.05 = 682.57 : x
  2. Step 2: Convert to fraction form
    1,242.09/1,714.05 = 682.57/x
  3. Step 3: Cross multiply
    1,242.09x = 1,714.05 × 682.57
  4. Step 4: Simplify right side
    1,242.09x = 1,169,959.11
  5. Step 5: Solve for x
    x = 1,169,959.11/1,242.09
  6. Step 6: Final answer
    x = 941.93

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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.