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Finding the Fourth Proportional to 1,199.57, 1,656.59 and 827.51

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Solution

The fourth proportional to 1,199.57, 1,656.59 and 827.51 is: 1,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.57 : 1,656.59 = 827.51 : x
  2. Step 2: Convert to fraction form
    1,199.57/1,656.59 = 827.51/x
  3. Step 3: Cross multiply
    1,199.57x = 1,656.59 × 827.51
  4. Step 4: Simplify right side
    1,199.57x = 1,370,832.37
  5. Step 5: Solve for x
    x = 1,370,832.37/1,199.57
  6. Step 6: Final answer
    x = 1,142.77

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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.