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Finding the Fourth Proportional to 490.48, 732.18 and 417.60

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Solution

The fourth proportional to 490.48, 732.18 and 417.60 is: 623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.48 : 732.18 = 417.60 : x
  2. Step 2: Convert to fraction form
    490.48/732.18 = 417.60/x
  3. Step 3: Cross multiply
    490.48x = 732.18 × 417.60
  4. Step 4: Simplify right side
    490.48x = 305,758.37
  5. Step 5: Solve for x
    x = 305,758.37/490.48
  6. Step 6: Final answer
    x = 623.39

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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.