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Finding the Fourth Proportional to 608.23, 839.43 and 384.49

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Solution

The fourth proportional to 608.23, 839.43 and 384.49 is: 530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.23 : 839.43 = 384.49 : x
  2. Step 2: Convert to fraction form
    608.23/839.43 = 384.49/x
  3. Step 3: Cross multiply
    608.23x = 839.43 × 384.49
  4. Step 4: Simplify right side
    608.23x = 322,752.44
  5. Step 5: Solve for x
    x = 322,752.44/608.23
  6. Step 6: Final answer
    x = 530.64

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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.