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Finding the Fourth Proportional to 608.62, 839.83 and 359.93

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Solution

The fourth proportional to 608.62, 839.83 and 359.93 is: 496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.62 : 839.83 = 359.93 : x
  2. Step 2: Convert to fraction form
    608.62/839.83 = 359.93/x
  3. Step 3: Cross multiply
    608.62x = 839.83 × 359.93
  4. Step 4: Simplify right side
    608.62x = 302,280.01
  5. Step 5: Solve for x
    x = 302,280.01/608.62
  6. Step 6: Final answer
    x = 496.67

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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.