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Finding the Fourth Proportional to 467.60, 704.06 and 438.80

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Solution

The fourth proportional to 467.60, 704.06 and 438.80 is: 660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.60 : 704.06 = 438.80 : x
  2. Step 2: Convert to fraction form
    467.60/704.06 = 438.80/x
  3. Step 3: Cross multiply
    467.60x = 704.06 × 438.80
  4. Step 4: Simplify right side
    467.60x = 308,941.53
  5. Step 5: Solve for x
    x = 308,941.53/467.60
  6. Step 6: Final answer
    x = 660.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.