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Finding the Fourth Proportional to 412.54, 620.10 and 384

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Solution

The fourth proportional to 412.54, 620.10 and 384 is: 577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 620.10 = 384 : x
  2. Step 2: Convert to fraction form
    412.54/620.10 = 384/x
  3. Step 3: Cross multiply
    412.54x = 620.10 × 384
  4. Step 4: Simplify right side
    412.54x = 238,118.40
  5. Step 5: Solve for x
    x = 238,118.40/412.54
  6. Step 6: Final answer
    x = 577.20

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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.