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Finding the Fourth Proportional to 1,446.84, 1,996.63 and 857.66

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Solution

The fourth proportional to 1,446.84, 1,996.63 and 857.66 is: 1,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.84 : 1,996.63 = 857.66 : x
  2. Step 2: Convert to fraction form
    1,446.84/1,996.63 = 857.66/x
  3. Step 3: Cross multiply
    1,446.84x = 1,996.63 × 857.66
  4. Step 4: Simplify right side
    1,446.84x = 1,712,417.56
  5. Step 5: Solve for x
    x = 1,712,417.56/1,446.84
  6. Step 6: Final answer
    x = 1,183.56

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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.