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Finding the Fourth Proportional to 1,032.54, 1,425.03 and 857.58

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Solution

The fourth proportional to 1,032.54, 1,425.03 and 857.58 is: 1,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.54 : 1,425.03 = 857.58 : x
  2. Step 2: Convert to fraction form
    1,032.54/1,425.03 = 857.58/x
  3. Step 3: Cross multiply
    1,032.54x = 1,425.03 × 857.58
  4. Step 4: Simplify right side
    1,032.54x = 1,222,077.23
  5. Step 5: Solve for x
    x = 1,222,077.23/1,032.54
  6. Step 6: Final answer
    x = 1,183.56

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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.