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Finding the Fourth Proportional to 459.41, 685.87 and 385.56

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Solution

The fourth proportional to 459.41, 685.87 and 385.56 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.41 : 685.87 = 385.56 : x
  2. Step 2: Convert to fraction form
    459.41/685.87 = 385.56/x
  3. Step 3: Cross multiply
    459.41x = 685.87 × 385.56
  4. Step 4: Simplify right side
    459.41x = 264,443.07
  5. Step 5: Solve for x
    x = 264,443.07/459.41
  6. Step 6: Final answer
    x = 575.62

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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.