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Finding the Fourth Proportional to 457.08, 684.23 and 369.60

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Solution

The fourth proportional to 457.08, 684.23 and 369.60 is: 553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.08 : 684.23 = 369.60 : x
  2. Step 2: Convert to fraction form
    457.08/684.23 = 369.60/x
  3. Step 3: Cross multiply
    457.08x = 684.23 × 369.60
  4. Step 4: Simplify right side
    457.08x = 252,889.56
  5. Step 5: Solve for x
    x = 252,889.56/457.08
  6. Step 6: Final answer
    x = 553.27

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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.