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Finding the Fourth Proportional to 476.73, 657.92 and 277.62

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Solution

The fourth proportional to 476.73, 657.92 and 277.62 is: 383.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 657.92 = 277.62 : x
  2. Step 2: Convert to fraction form
    476.73/657.92 = 277.62/x
  3. Step 3: Cross multiply
    476.73x = 657.92 × 277.62
  4. Step 4: Simplify right side
    476.73x = 182,651.75
  5. Step 5: Solve for x
    x = 182,651.75/476.73
  6. Step 6: Final answer
    x = 383.13

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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.