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Finding the Fourth Proportional to 484.79, 665.44 and 419.18

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Solution

The fourth proportional to 484.79, 665.44 and 419.18 is: 575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.79 : 665.44 = 419.18 : x
  2. Step 2: Convert to fraction form
    484.79/665.44 = 419.18/x
  3. Step 3: Cross multiply
    484.79x = 665.44 × 419.18
  4. Step 4: Simplify right side
    484.79x = 278,935.94
  5. Step 5: Solve for x
    x = 278,935.94/484.79
  6. Step 6: Final answer
    x = 575.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.