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Finding the Fourth Proportional to 459.75, 635.00 and 304.23

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Solution

The fourth proportional to 459.75, 635.00 and 304.23 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.75 : 635.00 = 304.23 : x
  2. Step 2: Convert to fraction form
    459.75/635.00 = 304.23/x
  3. Step 3: Cross multiply
    459.75x = 635.00 × 304.23
  4. Step 4: Simplify right side
    459.75x = 193,184.53
  5. Step 5: Solve for x
    x = 193,184.53/459.75
  6. Step 6: Final answer
    x = 420.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.