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Finding the Fourth Proportional to 897.73, 1,233.68 and 857.03

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Solution

The fourth proportional to 897.73, 1,233.68 and 857.03 is: 1,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.73 : 1,233.68 = 857.03 : x
  2. Step 2: Convert to fraction form
    897.73/1,233.68 = 857.03/x
  3. Step 3: Cross multiply
    897.73x = 1,233.68 × 857.03
  4. Step 4: Simplify right side
    897.73x = 1,057,302.08
  5. Step 5: Solve for x
    x = 1,057,302.08/897.73
  6. Step 6: Final answer
    x = 1,177.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.