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Finding the Fourth Proportional to 449.72, 619.27 and 417.05

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Solution

The fourth proportional to 449.72, 619.27 and 417.05 is: 574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.72 : 619.27 = 417.05 : x
  2. Step 2: Convert to fraction form
    449.72/619.27 = 417.05/x
  3. Step 3: Cross multiply
    449.72x = 619.27 × 417.05
  4. Step 4: Simplify right side
    449.72x = 258,262.41
  5. Step 5: Solve for x
    x = 258,262.41/449.72
  6. Step 6: Final answer
    x = 574.28

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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.