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Finding the Fourth Proportional to 449.70, 672.50 and 384.09

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Solution

The fourth proportional to 449.70, 672.50 and 384.09 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.70 : 672.50 = 384.09 : x
  2. Step 2: Convert to fraction form
    449.70/672.50 = 384.09/x
  3. Step 3: Cross multiply
    449.70x = 672.50 × 384.09
  4. Step 4: Simplify right side
    449.70x = 258,302.75
  5. Step 5: Solve for x
    x = 258,302.75/449.70
  6. Step 6: Final answer
    x = 574.39

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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.