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Finding the Fourth Proportional to 1,455.27, 2,008.28 and 857.79

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Solution

The fourth proportional to 1,455.27, 2,008.28 and 857.79 is: 1,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.27 : 2,008.28 = 857.79 : x
  2. Step 2: Convert to fraction form
    1,455.27/2,008.28 = 857.79/x
  3. Step 3: Cross multiply
    1,455.27x = 2,008.28 × 857.79
  4. Step 4: Simplify right side
    1,455.27x = 1,722,678.21
  5. Step 5: Solve for x
    x = 1,722,678.21/1,455.27
  6. Step 6: Final answer
    x = 1,183.75

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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.