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Finding the Fourth Proportional to 470.08, 644.48 and 461.90

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Solution

The fourth proportional to 470.08, 644.48 and 461.90 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 644.48 = 461.90 : x
  2. Step 2: Convert to fraction form
    470.08/644.48 = 461.90/x
  3. Step 3: Cross multiply
    470.08x = 644.48 × 461.90
  4. Step 4: Simplify right side
    470.08x = 297,685.31
  5. Step 5: Solve for x
    x = 297,685.31/470.08
  6. Step 6: Final answer
    x = 633.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.