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Finding the Fourth Proportional to 608.79, 913.91 and 365.43

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Solution

The fourth proportional to 608.79, 913.91 and 365.43 is: 548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.79 : 913.91 = 365.43 : x
  2. Step 2: Convert to fraction form
    608.79/913.91 = 365.43/x
  3. Step 3: Cross multiply
    608.79x = 913.91 × 365.43
  4. Step 4: Simplify right side
    608.79x = 333,970.13
  5. Step 5: Solve for x
    x = 333,970.13/608.79
  6. Step 6: Final answer
    x = 548.58

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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.