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Finding the Fourth Proportional to 443.60, 661.54 and 438.80

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Solution

The fourth proportional to 443.60, 661.54 and 438.80 is: 654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 661.54 = 438.80 : x
  2. Step 2: Convert to fraction form
    443.60/661.54 = 438.80/x
  3. Step 3: Cross multiply
    443.60x = 661.54 × 438.80
  4. Step 4: Simplify right side
    443.60x = 290,283.75
  5. Step 5: Solve for x
    x = 290,283.75/443.60
  6. Step 6: Final answer
    x = 654.38

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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.