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Finding the Fourth Proportional to 409.12, 612.79 and 384.89

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Solution

The fourth proportional to 409.12, 612.79 and 384.89 is: 576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 612.79 = 384.89 : x
  2. Step 2: Convert to fraction form
    409.12/612.79 = 384.89/x
  3. Step 3: Cross multiply
    409.12x = 612.79 × 384.89
  4. Step 4: Simplify right side
    409.12x = 235,852.72
  5. Step 5: Solve for x
    x = 235,852.72/409.12
  6. Step 6: Final answer
    x = 576.49

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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.