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Finding the Fourth Proportional to 404.93, 603.54 and 381.86

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Solution

The fourth proportional to 404.93, 603.54 and 381.86 is: 569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.93 : 603.54 = 381.86 : x
  2. Step 2: Convert to fraction form
    404.93/603.54 = 381.86/x
  3. Step 3: Cross multiply
    404.93x = 603.54 × 381.86
  4. Step 4: Simplify right side
    404.93x = 230,465.88
  5. Step 5: Solve for x
    x = 230,465.88/404.93
  6. Step 6: Final answer
    x = 569.16

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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.