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Finding the Fourth Proportional to 419.69, 578.99 and 288.47

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Solution

The fourth proportional to 419.69, 578.99 and 288.47 is: 397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 578.99 = 288.47 : x
  2. Step 2: Convert to fraction form
    419.69/578.99 = 288.47/x
  3. Step 3: Cross multiply
    419.69x = 578.99 × 288.47
  4. Step 4: Simplify right side
    419.69x = 167,019.07
  5. Step 5: Solve for x
    x = 167,019.07/419.69
  6. Step 6: Final answer
    x = 397.96

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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.