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Finding the Fourth Proportional to 613.83, 847.07 and 334.07

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Solution

The fourth proportional to 613.83, 847.07 and 334.07 is: 461.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 847.07 = 334.07 : x
  2. Step 2: Convert to fraction form
    613.83/847.07 = 334.07/x
  3. Step 3: Cross multiply
    613.83x = 847.07 × 334.07
  4. Step 4: Simplify right side
    613.83x = 282,976.44
  5. Step 5: Solve for x
    x = 282,976.44/613.83
  6. Step 6: Final answer
    x = 461.01

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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.