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Finding the Fourth Proportional to 419.31, 582.66 and 414.86

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Solution

The fourth proportional to 419.31, 582.66 and 414.86 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 582.66 = 414.86 : x
  2. Step 2: Convert to fraction form
    419.31/582.66 = 414.86/x
  3. Step 3: Cross multiply
    419.31x = 582.66 × 414.86
  4. Step 4: Simplify right side
    419.31x = 241,719.41
  5. Step 5: Solve for x
    x = 241,719.41/419.31
  6. Step 6: Final answer
    x = 576.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.