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Finding the Fourth Proportional to 419.96, 578.13 and 364.47

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Solution

The fourth proportional to 419.96, 578.13 and 364.47 is: 501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.96 : 578.13 = 364.47 : x
  2. Step 2: Convert to fraction form
    419.96/578.13 = 364.47/x
  3. Step 3: Cross multiply
    419.96x = 578.13 × 364.47
  4. Step 4: Simplify right side
    419.96x = 210,711.04
  5. Step 5: Solve for x
    x = 210,711.04/419.96
  6. Step 6: Final answer
    x = 501.75

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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.