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Finding the Fourth Proportional to 596.78, 893.80 and 288.85

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Solution

The fourth proportional to 596.78, 893.80 and 288.85 is: 432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.78 : 893.80 = 288.85 : x
  2. Step 2: Convert to fraction form
    596.78/893.80 = 288.85/x
  3. Step 3: Cross multiply
    596.78x = 893.80 × 288.85
  4. Step 4: Simplify right side
    596.78x = 258,171.17
  5. Step 5: Solve for x
    x = 258,171.17/596.78
  6. Step 6: Final answer
    x = 432.61

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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.