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Finding the Fourth Proportional to 437.93, 655.80 and 396.91

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Solution

The fourth proportional to 437.93, 655.80 and 396.91 is: 594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.93 : 655.80 = 396.91 : x
  2. Step 2: Convert to fraction form
    437.93/655.80 = 396.91/x
  3. Step 3: Cross multiply
    437.93x = 655.80 × 396.91
  4. Step 4: Simplify right side
    437.93x = 260,293.58
  5. Step 5: Solve for x
    x = 260,293.58/437.93
  6. Step 6: Final answer
    x = 594.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.