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Finding the Fourth Proportional to 654.94, 981.51 and 308.11

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Solution

The fourth proportional to 654.94, 981.51 and 308.11 is: 461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.94 : 981.51 = 308.11 : x
  2. Step 2: Convert to fraction form
    654.94/981.51 = 308.11/x
  3. Step 3: Cross multiply
    654.94x = 981.51 × 308.11
  4. Step 4: Simplify right side
    654.94x = 302,413.05
  5. Step 5: Solve for x
    x = 302,413.05/654.94
  6. Step 6: Final answer
    x = 461.74

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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.