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Finding the Fourth Proportional to 891.78, 1,342.60 and 697.82

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Solution

The fourth proportional to 891.78, 1,342.60 and 697.82 is: 1,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.78 : 1,342.60 = 697.82 : x
  2. Step 2: Convert to fraction form
    891.78/1,342.60 = 697.82/x
  3. Step 3: Cross multiply
    891.78x = 1,342.60 × 697.82
  4. Step 4: Simplify right side
    891.78x = 936,893.13
  5. Step 5: Solve for x
    x = 936,893.13/891.78
  6. Step 6: Final answer
    x = 1,050.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.