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Finding the Fourth Proportional to 893.20, 1,232.28 and 578.40

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Solution

The fourth proportional to 893.20, 1,232.28 and 578.40 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.20 : 1,232.28 = 578.40 : x
  2. Step 2: Convert to fraction form
    893.20/1,232.28 = 578.40/x
  3. Step 3: Cross multiply
    893.20x = 1,232.28 × 578.40
  4. Step 4: Simplify right side
    893.20x = 712,750.75
  5. Step 5: Solve for x
    x = 712,750.75/893.20
  6. Step 6: Final answer
    x = 797.97

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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.