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Finding the Fourth Proportional to 459.06, 687.91 and 361.79

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Solution

The fourth proportional to 459.06, 687.91 and 361.79 is: 542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.06 : 687.91 = 361.79 : x
  2. Step 2: Convert to fraction form
    459.06/687.91 = 361.79/x
  3. Step 3: Cross multiply
    459.06x = 687.91 × 361.79
  4. Step 4: Simplify right side
    459.06x = 248,876.33
  5. Step 5: Solve for x
    x = 248,876.33/459.06
  6. Step 6: Final answer
    x = 542.15

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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.