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Finding the Fourth Proportional to 458.74, 633.12 and 334.82

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Solution

The fourth proportional to 458.74, 633.12 and 334.82 is: 462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 633.12 = 334.82 : x
  2. Step 2: Convert to fraction form
    458.74/633.12 = 334.82/x
  3. Step 3: Cross multiply
    458.74x = 633.12 × 334.82
  4. Step 4: Simplify right side
    458.74x = 211,981.24
  5. Step 5: Solve for x
    x = 211,981.24/458.74
  6. Step 6: Final answer
    x = 462.09

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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.