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Finding the Fourth Proportional to 457.55, 685.87 and 423.23

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Solution

The fourth proportional to 457.55, 685.87 and 423.23 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.55 : 685.87 = 423.23 : x
  2. Step 2: Convert to fraction form
    457.55/685.87 = 423.23/x
  3. Step 3: Cross multiply
    457.55x = 685.87 × 423.23
  4. Step 4: Simplify right side
    457.55x = 290,276.27
  5. Step 5: Solve for x
    x = 290,276.27/457.55
  6. Step 6: Final answer
    x = 634.42

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