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Finding the Fourth Proportional to 472.60, 653.70 and 448.48

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Solution

The fourth proportional to 472.60, 653.70 and 448.48 is: 620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 653.70 = 448.48 : x
  2. Step 2: Convert to fraction form
    472.60/653.70 = 448.48/x
  3. Step 3: Cross multiply
    472.60x = 653.70 × 448.48
  4. Step 4: Simplify right side
    472.60x = 293,171.38
  5. Step 5: Solve for x
    x = 293,171.38/472.60
  6. Step 6: Final answer
    x = 620.34

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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.