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Finding the Fourth Proportional to 612.65, 918.94 and 378.43

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Solution

The fourth proportional to 612.65, 918.94 and 378.43 is: 567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.65 : 918.94 = 378.43 : x
  2. Step 2: Convert to fraction form
    612.65/918.94 = 378.43/x
  3. Step 3: Cross multiply
    612.65x = 918.94 × 378.43
  4. Step 4: Simplify right side
    612.65x = 347,755.58
  5. Step 5: Solve for x
    x = 347,755.58/612.65
  6. Step 6: Final answer
    x = 567.63

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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.