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Finding the Fourth Proportional to 578.42, 867.35 and 285.94

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Solution

The fourth proportional to 578.42, 867.35 and 285.94 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 867.35 = 285.94 : x
  2. Step 2: Convert to fraction form
    578.42/867.35 = 285.94/x
  3. Step 3: Cross multiply
    578.42x = 867.35 × 285.94
  4. Step 4: Simplify right side
    578.42x = 248,010.06
  5. Step 5: Solve for x
    x = 248,010.06/578.42
  6. Step 6: Final answer
    x = 428.77

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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.