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Finding the Fourth Proportional to 608.40, 838.68 and 442.35

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Solution

The fourth proportional to 608.40, 838.68 and 442.35 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.40 : 838.68 = 442.35 : x
  2. Step 2: Convert to fraction form
    608.40/838.68 = 442.35/x
  3. Step 3: Cross multiply
    608.40x = 838.68 × 442.35
  4. Step 4: Simplify right side
    608.40x = 370,990.10
  5. Step 5: Solve for x
    x = 370,990.10/608.40
  6. Step 6: Final answer
    x = 609.78

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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.