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Finding the Fourth Proportional to 458.45, 687.98 and 304.55

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Solution

The fourth proportional to 458.45, 687.98 and 304.55 is: 457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.45 : 687.98 = 304.55 : x
  2. Step 2: Convert to fraction form
    458.45/687.98 = 304.55/x
  3. Step 3: Cross multiply
    458.45x = 687.98 × 304.55
  4. Step 4: Simplify right side
    458.45x = 209,524.31
  5. Step 5: Solve for x
    x = 209,524.31/458.45
  6. Step 6: Final answer
    x = 457.03

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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.