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Finding the Fourth Proportional to 465.48, 694.44 and 442.80

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Solution

The fourth proportional to 465.48, 694.44 and 442.80 is: 660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.48 : 694.44 = 442.80 : x
  2. Step 2: Convert to fraction form
    465.48/694.44 = 442.80/x
  3. Step 3: Cross multiply
    465.48x = 694.44 × 442.80
  4. Step 4: Simplify right side
    465.48x = 307,498.03
  5. Step 5: Solve for x
    x = 307,498.03/465.48
  6. Step 6: Final answer
    x = 660.60

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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.