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Finding the Fourth Proportional to 419.11, 578.61 and 364.43

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Solution

The fourth proportional to 419.11, 578.61 and 364.43 is: 503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.11 : 578.61 = 364.43 : x
  2. Step 2: Convert to fraction form
    419.11/578.61 = 364.43/x
  3. Step 3: Cross multiply
    419.11x = 578.61 × 364.43
  4. Step 4: Simplify right side
    419.11x = 210,864.29
  5. Step 5: Solve for x
    x = 210,864.29/419.11
  6. Step 6: Final answer
    x = 503.13

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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.