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Finding the Fourth Proportional to 447.08, 615.45 and 384.54

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Solution

The fourth proportional to 447.08, 615.45 and 384.54 is: 529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 615.45 = 384.54 : x
  2. Step 2: Convert to fraction form
    447.08/615.45 = 384.54/x
  3. Step 3: Cross multiply
    447.08x = 615.45 × 384.54
  4. Step 4: Simplify right side
    447.08x = 236,665.14
  5. Step 5: Solve for x
    x = 236,665.14/447.08
  6. Step 6: Final answer
    x = 529.36

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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.