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Finding the Fourth Proportional to 458.46, 632.54 and 334.17

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Solution

The fourth proportional to 458.46, 632.54 and 334.17 is: 461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 632.54 = 334.17 : x
  2. Step 2: Convert to fraction form
    458.46/632.54 = 334.17/x
  3. Step 3: Cross multiply
    458.46x = 632.54 × 334.17
  4. Step 4: Simplify right side
    458.46x = 211,374.22
  5. Step 5: Solve for x
    x = 211,374.22/458.46
  6. Step 6: Final answer
    x = 461.05

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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.