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Finding the Fourth Proportional to 612.80, 917.08 and 378.44

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Solution

The fourth proportional to 612.80, 917.08 and 378.44 is: 566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.80 : 917.08 = 378.44 : x
  2. Step 2: Convert to fraction form
    612.80/917.08 = 378.44/x
  3. Step 3: Cross multiply
    612.80x = 917.08 × 378.44
  4. Step 4: Simplify right side
    612.80x = 347,058.81
  5. Step 5: Solve for x
    x = 347,058.81/612.80
  6. Step 6: Final answer
    x = 566.35

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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.