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Finding the Fourth Proportional to 893.31, 1,333.47 and 770.19

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Solution

The fourth proportional to 893.31, 1,333.47 and 770.19 is: 1,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.31 : 1,333.47 = 770.19 : x
  2. Step 2: Convert to fraction form
    893.31/1,333.47 = 770.19/x
  3. Step 3: Cross multiply
    893.31x = 1,333.47 × 770.19
  4. Step 4: Simplify right side
    893.31x = 1,027,025.26
  5. Step 5: Solve for x
    x = 1,027,025.26/893.31
  6. Step 6: Final answer
    x = 1,149.69

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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.