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Finding the Fourth Proportional to 459.31, 687.23 and 273.53

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Solution

The fourth proportional to 459.31, 687.23 and 273.53 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.31 : 687.23 = 273.53 : x
  2. Step 2: Convert to fraction form
    459.31/687.23 = 273.53/x
  3. Step 3: Cross multiply
    459.31x = 687.23 × 273.53
  4. Step 4: Simplify right side
    459.31x = 187,974.59
  5. Step 5: Solve for x
    x = 187,974.59/459.31
  6. Step 6: Final answer
    x = 409.26

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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.