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Finding the Fourth Proportional to 623.75, 935.46 and 419.55

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Solution

The fourth proportional to 623.75, 935.46 and 419.55 is: 629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.75 : 935.46 = 419.55 : x
  2. Step 2: Convert to fraction form
    623.75/935.46 = 419.55/x
  3. Step 3: Cross multiply
    623.75x = 935.46 × 419.55
  4. Step 4: Simplify right side
    623.75x = 392,472.24
  5. Step 5: Solve for x
    x = 392,472.24/623.75
  6. Step 6: Final answer
    x = 629.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.