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Finding the Fourth Proportional to 482.56, 665.60 and 307.83

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Solution

The fourth proportional to 482.56, 665.60 and 307.83 is: 424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.56 : 665.60 = 307.83 : x
  2. Step 2: Convert to fraction form
    482.56/665.60 = 307.83/x
  3. Step 3: Cross multiply
    482.56x = 665.60 × 307.83
  4. Step 4: Simplify right side
    482.56x = 204,889.09
  5. Step 5: Solve for x
    x = 204,889.09/482.56
  6. Step 6: Final answer
    x = 424.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.