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Finding the Fourth Proportional to 459.67, 634.44 and 422.77

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Solution

The fourth proportional to 459.67, 634.44 and 422.77 is: 583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.67 : 634.44 = 422.77 : x
  2. Step 2: Convert to fraction form
    459.67/634.44 = 422.77/x
  3. Step 3: Cross multiply
    459.67x = 634.44 × 422.77
  4. Step 4: Simplify right side
    459.67x = 268,222.20
  5. Step 5: Solve for x
    x = 268,222.20/459.67
  6. Step 6: Final answer
    x = 583.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.