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Finding the Fourth Proportional to 419.98, 578.73 and 346.82

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Solution

The fourth proportional to 419.98, 578.73 and 346.82 is: 477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 578.73 = 346.82 : x
  2. Step 2: Convert to fraction form
    419.98/578.73 = 346.82/x
  3. Step 3: Cross multiply
    419.98x = 578.73 × 346.82
  4. Step 4: Simplify right side
    419.98x = 200,715.14
  5. Step 5: Solve for x
    x = 200,715.14/419.98
  6. Step 6: Final answer
    x = 477.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.