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Finding the Fourth Proportional to 449.26, 670.75 and 384.30

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Solution

The fourth proportional to 449.26, 670.75 and 384.30 is: 573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.26 : 670.75 = 384.30 : x
  2. Step 2: Convert to fraction form
    449.26/670.75 = 384.30/x
  3. Step 3: Cross multiply
    449.26x = 670.75 × 384.30
  4. Step 4: Simplify right side
    449.26x = 257,769.23
  5. Step 5: Solve for x
    x = 257,769.23/449.26
  6. Step 6: Final answer
    x = 573.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.