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Finding the Fourth Proportional to 608.20, 913.38 and 403

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Solution

The fourth proportional to 608.20, 913.38 and 403 is: 605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.20 : 913.38 = 403 : x
  2. Step 2: Convert to fraction form
    608.20/913.38 = 403/x
  3. Step 3: Cross multiply
    608.20x = 913.38 × 403
  4. Step 4: Simplify right side
    608.20x = 368,092.14
  5. Step 5: Solve for x
    x = 368,092.14/608.20
  6. Step 6: Final answer
    x = 605.22

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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.