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Finding the Fourth Proportional to 820.93, 1,231.38 and 578.54

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Solution

The fourth proportional to 820.93, 1,231.38 and 578.54 is: 867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.93 : 1,231.38 = 578.54 : x
  2. Step 2: Convert to fraction form
    820.93/1,231.38 = 578.54/x
  3. Step 3: Cross multiply
    820.93x = 1,231.38 × 578.54
  4. Step 4: Simplify right side
    820.93x = 712,402.59
  5. Step 5: Solve for x
    x = 712,402.59/820.93
  6. Step 6: Final answer
    x = 867.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.