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Finding the Fourth Proportional to 608.54, 839.77 and 346.55

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Solution

The fourth proportional to 608.54, 839.77 and 346.55 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.54 : 839.77 = 346.55 : x
  2. Step 2: Convert to fraction form
    608.54/839.77 = 346.55/x
  3. Step 3: Cross multiply
    608.54x = 839.77 × 346.55
  4. Step 4: Simplify right side
    608.54x = 291,022.29
  5. Step 5: Solve for x
    x = 291,022.29/608.54
  6. Step 6: Final answer
    x = 478.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.