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Finding the Fourth Proportional to 893.26, 1,231.70 and 578.50

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Solution

The fourth proportional to 893.26, 1,231.70 and 578.50 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.26 : 1,231.70 = 578.50 : x
  2. Step 2: Convert to fraction form
    893.26/1,231.70 = 578.50/x
  3. Step 3: Cross multiply
    893.26x = 1,231.70 × 578.50
  4. Step 4: Simplify right side
    893.26x = 712,538.45
  5. Step 5: Solve for x
    x = 712,538.45/893.26
  6. Step 6: Final answer
    x = 797.68

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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.