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Finding the Fourth Proportional to 893.54, 1,233.24 and 578.72

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Solution

The fourth proportional to 893.54, 1,233.24 and 578.72 is: 798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.54 : 1,233.24 = 578.72 : x
  2. Step 2: Convert to fraction form
    893.54/1,233.24 = 578.72/x
  3. Step 3: Cross multiply
    893.54x = 1,233.24 × 578.72
  4. Step 4: Simplify right side
    893.54x = 713,700.65
  5. Step 5: Solve for x
    x = 713,700.65/893.54
  6. Step 6: Final answer
    x = 798.73

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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.