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Finding the Fourth Proportional to 418.73, 577.61 and 287.92

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Solution

The fourth proportional to 418.73, 577.61 and 287.92 is: 397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.73 : 577.61 = 287.92 : x
  2. Step 2: Convert to fraction form
    418.73/577.61 = 287.92/x
  3. Step 3: Cross multiply
    418.73x = 577.61 × 287.92
  4. Step 4: Simplify right side
    418.73x = 166,302.58
  5. Step 5: Solve for x
    x = 166,302.58/418.73
  6. Step 6: Final answer
    x = 397.16

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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.