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Finding the Fourth Proportional to 419.53, 626.24 and 384.91

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Solution

The fourth proportional to 419.53, 626.24 and 384.91 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.53 : 626.24 = 384.91 : x
  2. Step 2: Convert to fraction form
    419.53/626.24 = 384.91/x
  3. Step 3: Cross multiply
    419.53x = 626.24 × 384.91
  4. Step 4: Simplify right side
    419.53x = 241,046.04
  5. Step 5: Solve for x
    x = 241,046.04/419.53
  6. Step 6: Final answer
    x = 574.56

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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.