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Finding the Fourth Proportional to 613.83, 847.08 and 334.06

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Solution

The fourth proportional to 613.83, 847.08 and 334.06 is: 461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 847.08 = 334.06 : x
  2. Step 2: Convert to fraction form
    613.83/847.08 = 334.06/x
  3. Step 3: Cross multiply
    613.83x = 847.08 × 334.06
  4. Step 4: Simplify right side
    613.83x = 282,975.54
  5. Step 5: Solve for x
    x = 282,975.54/613.83
  6. Step 6: Final answer
    x = 461.00

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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.