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Finding the Fourth Proportional to 1,207.09, 1,663.50 and 857.17

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Solution

The fourth proportional to 1,207.09, 1,663.50 and 857.17 is: 1,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.09 : 1,663.50 = 857.17 : x
  2. Step 2: Convert to fraction form
    1,207.09/1,663.50 = 857.17/x
  3. Step 3: Cross multiply
    1,207.09x = 1,663.50 × 857.17
  4. Step 4: Simplify right side
    1,207.09x = 1,425,902.30
  5. Step 5: Solve for x
    x = 1,425,902.30/1,207.09
  6. Step 6: Final answer
    x = 1,181.27

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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.