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Finding the Fourth Proportional to 458.82, 687.36 and 304.30

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Solution

The fourth proportional to 458.82, 687.36 and 304.30 is: 455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 687.36 = 304.30 : x
  2. Step 2: Convert to fraction form
    458.82/687.36 = 304.30/x
  3. Step 3: Cross multiply
    458.82x = 687.36 × 304.30
  4. Step 4: Simplify right side
    458.82x = 209,163.65
  5. Step 5: Solve for x
    x = 209,163.65/458.82
  6. Step 6: Final answer
    x = 455.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.