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Finding the Fourth Proportional to 405.05, 603.73 and 381.99

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Solution

The fourth proportional to 405.05, 603.73 and 381.99 is: 569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.05 : 603.73 = 381.99 : x
  2. Step 2: Convert to fraction form
    405.05/603.73 = 381.99/x
  3. Step 3: Cross multiply
    405.05x = 603.73 × 381.99
  4. Step 4: Simplify right side
    405.05x = 230,613.89
  5. Step 5: Solve for x
    x = 230,613.89/405.05
  6. Step 6: Final answer
    x = 569.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.