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Finding the Fourth Proportional to 470.30, 647.92 and 448.43

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Solution

The fourth proportional to 470.30, 647.92 and 448.43 is: 617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.30 : 647.92 = 448.43 : x
  2. Step 2: Convert to fraction form
    470.30/647.92 = 448.43/x
  3. Step 3: Cross multiply
    470.30x = 647.92 × 448.43
  4. Step 4: Simplify right side
    470.30x = 290,542.40
  5. Step 5: Solve for x
    x = 290,542.40/470.30
  6. Step 6: Final answer
    x = 617.79

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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.