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Finding the Fourth Proportional to 461.65, 635.70 and 330.43

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Solution

The fourth proportional to 461.65, 635.70 and 330.43 is: 455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.65 : 635.70 = 330.43 : x
  2. Step 2: Convert to fraction form
    461.65/635.70 = 330.43/x
  3. Step 3: Cross multiply
    461.65x = 635.70 × 330.43
  4. Step 4: Simplify right side
    461.65x = 210,054.35
  5. Step 5: Solve for x
    x = 210,054.35/461.65
  6. Step 6: Final answer
    x = 455.01

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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.