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Finding the Fourth Proportional to 897.82, 1,235.36 and 876.22

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Solution

The fourth proportional to 897.82, 1,235.36 and 876.22 is: 1,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.82 : 1,235.36 = 876.22 : x
  2. Step 2: Convert to fraction form
    897.82/1,235.36 = 876.22/x
  3. Step 3: Cross multiply
    897.82x = 1,235.36 × 876.22
  4. Step 4: Simplify right side
    897.82x = 1,082,447.14
  5. Step 5: Solve for x
    x = 1,082,447.14/897.82
  6. Step 6: Final answer
    x = 1,205.64

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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.