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Finding the Fourth Proportional to 893.89, 1,235.42 and 746.88

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Solution

The fourth proportional to 893.89, 1,235.42 and 746.88 is: 1,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.89 : 1,235.42 = 746.88 : x
  2. Step 2: Convert to fraction form
    893.89/1,235.42 = 746.88/x
  3. Step 3: Cross multiply
    893.89x = 1,235.42 × 746.88
  4. Step 4: Simplify right side
    893.89x = 922,710.49
  5. Step 5: Solve for x
    x = 922,710.49/893.89
  6. Step 6: Final answer
    x = 1,032.24

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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.