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Finding the Fourth Proportional to 458.86, 635.95 and 450.22

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Solution

The fourth proportional to 458.86, 635.95 and 450.22 is: 623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.86 : 635.95 = 450.22 : x
  2. Step 2: Convert to fraction form
    458.86/635.95 = 450.22/x
  3. Step 3: Cross multiply
    458.86x = 635.95 × 450.22
  4. Step 4: Simplify right side
    458.86x = 286,317.41
  5. Step 5: Solve for x
    x = 286,317.41/458.86
  6. Step 6: Final answer
    x = 623.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.