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Finding the Fourth Proportional to 1,447.40, 1,996.70 and 857.65

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Solution

The fourth proportional to 1,447.40, 1,996.70 and 857.65 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.40 : 1,996.70 = 857.65 : x
  2. Step 2: Convert to fraction form
    1,447.40/1,996.70 = 857.65/x
  3. Step 3: Cross multiply
    1,447.40x = 1,996.70 × 857.65
  4. Step 4: Simplify right side
    1,447.40x = 1,712,465.47
  5. Step 5: Solve for x
    x = 1,712,465.47/1,447.40
  6. Step 6: Final answer
    x = 1,183.14

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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.