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Finding the Fourth Proportional to 404.84, 602.92 and 380

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Solution

The fourth proportional to 404.84, 602.92 and 380 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.84 : 602.92 = 380 : x
  2. Step 2: Convert to fraction form
    404.84/602.92 = 380/x
  3. Step 3: Cross multiply
    404.84x = 602.92 × 380
  4. Step 4: Simplify right side
    404.84x = 229,109.60
  5. Step 5: Solve for x
    x = 229,109.60/404.84
  6. Step 6: Final answer
    x = 565.93

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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.