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Finding the Fourth Proportional to 608.36, 913.33 and 522.25

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Solution

The fourth proportional to 608.36, 913.33 and 522.25 is: 784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.36 : 913.33 = 522.25 : x
  2. Step 2: Convert to fraction form
    608.36/913.33 = 522.25/x
  3. Step 3: Cross multiply
    608.36x = 913.33 × 522.25
  4. Step 4: Simplify right side
    608.36x = 476,982.02
  5. Step 5: Solve for x
    x = 476,982.02/608.36
  6. Step 6: Final answer
    x = 784.04

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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.