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Finding the Fourth Proportional to 893.16, 1,231.88 and 578.21

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Solution

The fourth proportional to 893.16, 1,231.88 and 578.21 is: 797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.16 : 1,231.88 = 578.21 : x
  2. Step 2: Convert to fraction form
    893.16/1,231.88 = 578.21/x
  3. Step 3: Cross multiply
    893.16x = 1,231.88 × 578.21
  4. Step 4: Simplify right side
    893.16x = 712,276.28
  5. Step 5: Solve for x
    x = 712,276.28/893.16
  6. Step 6: Final answer
    x = 797.48

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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.