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Finding the Fourth Proportional to 484.64, 722.66 and 427.08

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Solution

The fourth proportional to 484.64, 722.66 and 427.08 is: 636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.64 : 722.66 = 427.08 : x
  2. Step 2: Convert to fraction form
    484.64/722.66 = 427.08/x
  3. Step 3: Cross multiply
    484.64x = 722.66 × 427.08
  4. Step 4: Simplify right side
    484.64x = 308,633.63
  5. Step 5: Solve for x
    x = 308,633.63/484.64
  6. Step 6: Final answer
    x = 636.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.