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Finding the Fourth Proportional to 654.75, 981.81 and 307.79

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Solution

The fourth proportional to 654.75, 981.81 and 307.79 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 981.81 = 307.79 : x
  2. Step 2: Convert to fraction form
    654.75/981.81 = 307.79/x
  3. Step 3: Cross multiply
    654.75x = 981.81 × 307.79
  4. Step 4: Simplify right side
    654.75x = 302,189.21
  5. Step 5: Solve for x
    x = 302,189.21/654.75
  6. Step 6: Final answer
    x = 461.54

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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.