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Finding the Fourth Proportional to 608.47, 839.77 and 346.50

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Solution

The fourth proportional to 608.47, 839.77 and 346.50 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.47 : 839.77 = 346.50 : x
  2. Step 2: Convert to fraction form
    608.47/839.77 = 346.50/x
  3. Step 3: Cross multiply
    608.47x = 839.77 × 346.50
  4. Step 4: Simplify right side
    608.47x = 290,979.44
  5. Step 5: Solve for x
    x = 290,979.44/608.47
  6. Step 6: Final answer
    x = 478.22

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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.