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Finding the Fourth Proportional to 459.02, 687.38 and 304.49

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Solution

The fourth proportional to 459.02, 687.38 and 304.49 is: 455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.02 : 687.38 = 304.49 : x
  2. Step 2: Convert to fraction form
    459.02/687.38 = 304.49/x
  3. Step 3: Cross multiply
    459.02x = 687.38 × 304.49
  4. Step 4: Simplify right side
    459.02x = 209,295.38
  5. Step 5: Solve for x
    x = 209,295.38/459.02
  6. Step 6: Final answer
    x = 455.96

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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.