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Finding the Fourth Proportional to 398.73, 598.60 and 307.49

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Solution

The fourth proportional to 398.73, 598.60 and 307.49 is: 461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 598.60 = 307.49 : x
  2. Step 2: Convert to fraction form
    398.73/598.60 = 307.49/x
  3. Step 3: Cross multiply
    398.73x = 598.60 × 307.49
  4. Step 4: Simplify right side
    398.73x = 184,063.51
  5. Step 5: Solve for x
    x = 184,063.51/398.73
  6. Step 6: Final answer
    x = 461.62

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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.