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Finding the Fourth Proportional to 612.36, 917.82 and 396.06

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Solution

The fourth proportional to 612.36, 917.82 and 396.06 is: 593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.36 : 917.82 = 396.06 : x
  2. Step 2: Convert to fraction form
    612.36/917.82 = 396.06/x
  3. Step 3: Cross multiply
    612.36x = 917.82 × 396.06
  4. Step 4: Simplify right side
    612.36x = 363,511.79
  5. Step 5: Solve for x
    x = 363,511.79/612.36
  6. Step 6: Final answer
    x = 593.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.