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Finding the Fourth Proportional to 404.84, 609.75 and 359.72

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Solution

The fourth proportional to 404.84, 609.75 and 359.72 is: 541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.84 : 609.75 = 359.72 : x
  2. Step 2: Convert to fraction form
    404.84/609.75 = 359.72/x
  3. Step 3: Cross multiply
    404.84x = 609.75 × 359.72
  4. Step 4: Simplify right side
    404.84x = 219,339.27
  5. Step 5: Solve for x
    x = 219,339.27/404.84
  6. Step 6: Final answer
    x = 541.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.