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Finding the Fourth Proportional to 608.92, 913.79 and 442.06

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Solution

The fourth proportional to 608.92, 913.79 and 442.06 is: 663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.92 : 913.79 = 442.06 : x
  2. Step 2: Convert to fraction form
    608.92/913.79 = 442.06/x
  3. Step 3: Cross multiply
    608.92x = 913.79 × 442.06
  4. Step 4: Simplify right side
    608.92x = 403,947.80
  5. Step 5: Solve for x
    x = 403,947.80/608.92
  6. Step 6: Final answer
    x = 663.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.