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Finding the Fourth Proportional to 1,455.54, 2,008.50 and 857.93

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Solution

The fourth proportional to 1,455.54, 2,008.50 and 857.93 is: 1,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.54 : 2,008.50 = 857.93 : x
  2. Step 2: Convert to fraction form
    1,455.54/2,008.50 = 857.93/x
  3. Step 3: Cross multiply
    1,455.54x = 2,008.50 × 857.93
  4. Step 4: Simplify right side
    1,455.54x = 1,723,142.36
  5. Step 5: Solve for x
    x = 1,723,142.36/1,455.54
  6. Step 6: Final answer
    x = 1,183.85

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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.