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Finding the Fourth Proportional to 458.59, 632.75 and 334.31

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Solution

The fourth proportional to 458.59, 632.75 and 334.31 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.59 : 632.75 = 334.31 : x
  2. Step 2: Convert to fraction form
    458.59/632.75 = 334.31/x
  3. Step 3: Cross multiply
    458.59x = 632.75 × 334.31
  4. Step 4: Simplify right side
    458.59x = 211,537.46
  5. Step 5: Solve for x
    x = 211,537.46/458.59
  6. Step 6: Final answer
    x = 461.28

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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.