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Finding the Fourth Proportional to 501.23, 746.44 and 488.48

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Solution

The fourth proportional to 501.23, 746.44 and 488.48 is: 727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.23 : 746.44 = 488.48 : x
  2. Step 2: Convert to fraction form
    501.23/746.44 = 488.48/x
  3. Step 3: Cross multiply
    501.23x = 746.44 × 488.48
  4. Step 4: Simplify right side
    501.23x = 364,616.06
  5. Step 5: Solve for x
    x = 364,616.06/501.23
  6. Step 6: Final answer
    x = 727.44

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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.