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Finding the Fourth Proportional to 893.30, 1,346.03 and 734.54

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Solution

The fourth proportional to 893.30, 1,346.03 and 734.54 is: 1,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.30 : 1,346.03 = 734.54 : x
  2. Step 2: Convert to fraction form
    893.30/1,346.03 = 734.54/x
  3. Step 3: Cross multiply
    893.30x = 1,346.03 × 734.54
  4. Step 4: Simplify right side
    893.30x = 988,702.47
  5. Step 5: Solve for x
    x = 988,702.47/893.30
  6. Step 6: Final answer
    x = 1,106.80

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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.