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Finding the Fourth Proportional to 893.33, 1,231.56 and 770.30

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Solution

The fourth proportional to 893.33, 1,231.56 and 770.30 is: 1,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.33 : 1,231.56 = 770.30 : x
  2. Step 2: Convert to fraction form
    893.33/1,231.56 = 770.30/x
  3. Step 3: Cross multiply
    893.33x = 1,231.56 × 770.30
  4. Step 4: Simplify right side
    893.33x = 948,670.67
  5. Step 5: Solve for x
    x = 948,670.67/893.33
  6. Step 6: Final answer
    x = 1,061.95

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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.