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Finding the Fourth Proportional to 449.09, 677.06 and 417.77

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Solution

The fourth proportional to 449.09, 677.06 and 417.77 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.09 : 677.06 = 417.77 : x
  2. Step 2: Convert to fraction form
    449.09/677.06 = 417.77/x
  3. Step 3: Cross multiply
    449.09x = 677.06 × 417.77
  4. Step 4: Simplify right side
    449.09x = 282,855.36
  5. Step 5: Solve for x
    x = 282,855.36/449.09
  6. Step 6: Final answer
    x = 629.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.