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Finding the Fourth Proportional to 418.81, 577.84 and 285.79

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Solution

The fourth proportional to 418.81, 577.84 and 285.79 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 577.84 = 285.79 : x
  2. Step 2: Convert to fraction form
    418.81/577.84 = 285.79/x
  3. Step 3: Cross multiply
    418.81x = 577.84 × 285.79
  4. Step 4: Simplify right side
    418.81x = 165,140.89
  5. Step 5: Solve for x
    x = 165,140.89/418.81
  6. Step 6: Final answer
    x = 394.31

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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.