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Finding the Fourth Proportional to 453.07, 623.21 and 378.34

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Solution

The fourth proportional to 453.07, 623.21 and 378.34 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.07 : 623.21 = 378.34 : x
  2. Step 2: Convert to fraction form
    453.07/623.21 = 378.34/x
  3. Step 3: Cross multiply
    453.07x = 623.21 × 378.34
  4. Step 4: Simplify right side
    453.07x = 235,780.26
  5. Step 5: Solve for x
    x = 235,780.26/453.07
  6. Step 6: Final answer
    x = 520.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.