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Finding the Fourth Proportional to 608.40, 839.64 and 342.95

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Solution

The fourth proportional to 608.40, 839.64 and 342.95 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 839.64 = 342.95 : x
  2. Step 2: Convert to fraction form
    608.40/839.64 = 342.95/x
  3. Step 3: Cross multiply
    608.40x = 839.64 × 342.95
  4. Step 4: Simplify right side
    608.40x = 287,950.34
  5. Step 5: Solve for x
    x = 287,950.34/608.40
  6. Step 6: Final answer
    x = 473.29

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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.