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Finding the Fourth Proportional to 541.96, 813.66 and 285.64

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Solution

The fourth proportional to 541.96, 813.66 and 285.64 is: 428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 813.66 = 285.64 : x
  2. Step 2: Convert to fraction form
    541.96/813.66 = 285.64/x
  3. Step 3: Cross multiply
    541.96x = 813.66 × 285.64
  4. Step 4: Simplify right side
    541.96x = 232,413.84
  5. Step 5: Solve for x
    x = 232,413.84/541.96
  6. Step 6: Final answer
    x = 428.84

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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.