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Finding the Fourth Proportional to 612.63, 845.34 and 347.05

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Solution

The fourth proportional to 612.63, 845.34 and 347.05 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 845.34 = 347.05 : x
  2. Step 2: Convert to fraction form
    612.63/845.34 = 347.05/x
  3. Step 3: Cross multiply
    612.63x = 845.34 × 347.05
  4. Step 4: Simplify right side
    612.63x = 293,375.00
  5. Step 5: Solve for x
    x = 293,375.00/612.63
  6. Step 6: Final answer
    x = 478.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.