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Finding the Fourth Proportional to 501.13, 748.28 and 448.73

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Solution

The fourth proportional to 501.13, 748.28 and 448.73 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.13 : 748.28 = 448.73 : x
  2. Step 2: Convert to fraction form
    501.13/748.28 = 448.73/x
  3. Step 3: Cross multiply
    501.13x = 748.28 × 448.73
  4. Step 4: Simplify right side
    501.13x = 335,777.84
  5. Step 5: Solve for x
    x = 335,777.84/501.13
  6. Step 6: Final answer
    x = 670.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.