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Finding the Fourth Proportional to 459.86, 637.34 and 451.22

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Solution

The fourth proportional to 459.86, 637.34 and 451.22 is: 625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.86 : 637.34 = 451.22 : x
  2. Step 2: Convert to fraction form
    459.86/637.34 = 451.22/x
  3. Step 3: Cross multiply
    459.86x = 637.34 × 451.22
  4. Step 4: Simplify right side
    459.86x = 287,580.55
  5. Step 5: Solve for x
    x = 287,580.55/459.86
  6. Step 6: Final answer
    x = 625.37

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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.