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Finding the Fourth Proportional to 608.16, 838.74 and 442.92

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Solution

The fourth proportional to 608.16, 838.74 and 442.92 is: 610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 838.74 = 442.92 : x
  2. Step 2: Convert to fraction form
    608.16/838.74 = 442.92/x
  3. Step 3: Cross multiply
    608.16x = 838.74 × 442.92
  4. Step 4: Simplify right side
    608.16x = 371,494.72
  5. Step 5: Solve for x
    x = 371,494.72/608.16
  6. Step 6: Final answer
    x = 610.85

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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.