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Finding the Fourth Proportional to 893.88, 1,235.40 and 785.82

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Solution

The fourth proportional to 893.88, 1,235.40 and 785.82 is: 1,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.88 : 1,235.40 = 785.82 : x
  2. Step 2: Convert to fraction form
    893.88/1,235.40 = 785.82/x
  3. Step 3: Cross multiply
    893.88x = 1,235.40 × 785.82
  4. Step 4: Simplify right side
    893.88x = 970,802.03
  5. Step 5: Solve for x
    x = 970,802.03/893.88
  6. Step 6: Final answer
    x = 1,086.05

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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.