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Finding the Fourth Proportional to 437.60, 659.46 and 394.31

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Solution

The fourth proportional to 437.60, 659.46 and 394.31 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.60 : 659.46 = 394.31 : x
  2. Step 2: Convert to fraction form
    437.60/659.46 = 394.31/x
  3. Step 3: Cross multiply
    437.60x = 659.46 × 394.31
  4. Step 4: Simplify right side
    437.60x = 260,029.70
  5. Step 5: Solve for x
    x = 260,029.70/437.60
  6. Step 6: Final answer
    x = 594.22

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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.