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Finding the Fourth Proportional to 573.96, 860.08 and 285.60

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Solution

The fourth proportional to 573.96, 860.08 and 285.60 is: 427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.96 : 860.08 = 285.60 : x
  2. Step 2: Convert to fraction form
    573.96/860.08 = 285.60/x
  3. Step 3: Cross multiply
    573.96x = 860.08 × 285.60
  4. Step 4: Simplify right side
    573.96x = 245,638.85
  5. Step 5: Solve for x
    x = 245,638.85/573.96
  6. Step 6: Final answer
    x = 427.97

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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.