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Finding the Fourth Proportional to 419.34, 582.71 and 414.84

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Solution

The fourth proportional to 419.34, 582.71 and 414.84 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 582.71 = 414.84 : x
  2. Step 2: Convert to fraction form
    419.34/582.71 = 414.84/x
  3. Step 3: Cross multiply
    419.34x = 582.71 × 414.84
  4. Step 4: Simplify right side
    419.34x = 241,729.34
  5. Step 5: Solve for x
    x = 241,729.34/419.34
  6. Step 6: Final answer
    x = 576.45

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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.