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Finding the Fourth Proportional to 654.38, 981.33 and 307.65

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Solution

The fourth proportional to 654.38, 981.33 and 307.65 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.38 : 981.33 = 307.65 : x
  2. Step 2: Convert to fraction form
    654.38/981.33 = 307.65/x
  3. Step 3: Cross multiply
    654.38x = 981.33 × 307.65
  4. Step 4: Simplify right side
    654.38x = 301,906.17
  5. Step 5: Solve for x
    x = 301,906.17/654.38
  6. Step 6: Final answer
    x = 461.37

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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.