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Finding the Fourth Proportional to 437.07, 654.80 and 382.80

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Solution

The fourth proportional to 437.07, 654.80 and 382.80 is: 573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.07 : 654.80 = 382.80 : x
  2. Step 2: Convert to fraction form
    437.07/654.80 = 382.80/x
  3. Step 3: Cross multiply
    437.07x = 654.80 × 382.80
  4. Step 4: Simplify right side
    437.07x = 250,655.53
  5. Step 5: Solve for x
    x = 250,655.53/437.07
  6. Step 6: Final answer
    x = 573.49

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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.