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Finding the Fourth Proportional to 623.64, 852.99 and 613.56

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Solution

The fourth proportional to 623.64, 852.99 and 613.56 is: 839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.64 : 852.99 = 613.56 : x
  2. Step 2: Convert to fraction form
    623.64/852.99 = 613.56/x
  3. Step 3: Cross multiply
    623.64x = 852.99 × 613.56
  4. Step 4: Simplify right side
    623.64x = 523,360.54
  5. Step 5: Solve for x
    x = 523,360.54/623.64
  6. Step 6: Final answer
    x = 839.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.