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Finding the Fourth Proportional to 1,200.57, 1,657.97 and 828.51

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Solution

The fourth proportional to 1,200.57, 1,657.97 and 828.51 is: 1,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.57 : 1,657.97 = 828.51 : x
  2. Step 2: Convert to fraction form
    1,200.57/1,657.97 = 828.51/x
  3. Step 3: Cross multiply
    1,200.57x = 1,657.97 × 828.51
  4. Step 4: Simplify right side
    1,200.57x = 1,373,644.72
  5. Step 5: Solve for x
    x = 1,373,644.72/1,200.57
  6. Step 6: Final answer
    x = 1,144.16

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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.