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Finding the Fourth Proportional to 404.84, 603.85 and 392.69

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Solution

The fourth proportional to 404.84, 603.85 and 392.69 is: 585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.84 : 603.85 = 392.69 : x
  2. Step 2: Convert to fraction form
    404.84/603.85 = 392.69/x
  3. Step 3: Cross multiply
    404.84x = 603.85 × 392.69
  4. Step 4: Simplify right side
    404.84x = 237,125.86
  5. Step 5: Solve for x
    x = 237,125.86/404.84
  6. Step 6: Final answer
    x = 585.73

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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.