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Finding the Fourth Proportional to 607.68, 839.00 and 408.67

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Solution

The fourth proportional to 607.68, 839.00 and 408.67 is: 564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 839.00 = 408.67 : x
  2. Step 2: Convert to fraction form
    607.68/839.00 = 408.67/x
  3. Step 3: Cross multiply
    607.68x = 839.00 × 408.67
  4. Step 4: Simplify right side
    607.68x = 342,873.05
  5. Step 5: Solve for x
    x = 342,873.05/607.68
  6. Step 6: Final answer
    x = 564.23

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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.