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Finding the Fourth Proportional to 893.86, 1,333.06 and 764.68

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Solution

The fourth proportional to 893.86, 1,333.06 and 764.68 is: 1,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.86 : 1,333.06 = 764.68 : x
  2. Step 2: Convert to fraction form
    893.86/1,333.06 = 764.68/x
  3. Step 3: Cross multiply
    893.86x = 1,333.06 × 764.68
  4. Step 4: Simplify right side
    893.86x = 1,019,364.32
  5. Step 5: Solve for x
    x = 1,019,364.32/893.86
  6. Step 6: Final answer
    x = 1,140.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.