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Finding the Fourth Proportional to 457.03, 681.44 and 448.83

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Solution

The fourth proportional to 457.03, 681.44 and 448.83 is: 669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.03 : 681.44 = 448.83 : x
  2. Step 2: Convert to fraction form
    457.03/681.44 = 448.83/x
  3. Step 3: Cross multiply
    457.03x = 681.44 × 448.83
  4. Step 4: Simplify right side
    457.03x = 305,850.72
  5. Step 5: Solve for x
    x = 305,850.72/457.03
  6. Step 6: Final answer
    x = 669.21

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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.