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Finding the Fourth Proportional to 457.73, 632.43 and 446.06

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Solution

The fourth proportional to 457.73, 632.43 and 446.06 is: 616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.73 : 632.43 = 446.06 : x
  2. Step 2: Convert to fraction form
    457.73/632.43 = 446.06/x
  3. Step 3: Cross multiply
    457.73x = 632.43 × 446.06
  4. Step 4: Simplify right side
    457.73x = 282,098.56
  5. Step 5: Solve for x
    x = 282,098.56/457.73
  6. Step 6: Final answer
    x = 616.31

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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.