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Finding the Fourth Proportional to 419.27, 626.04 and 380.93

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Solution

The fourth proportional to 419.27, 626.04 and 380.93 is: 568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.27 : 626.04 = 380.93 : x
  2. Step 2: Convert to fraction form
    419.27/626.04 = 380.93/x
  3. Step 3: Cross multiply
    419.27x = 626.04 × 380.93
  4. Step 4: Simplify right side
    419.27x = 238,474.29
  5. Step 5: Solve for x
    x = 238,474.29/419.27
  6. Step 6: Final answer
    x = 568.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.