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Finding the Fourth Proportional to 476.84, 657.92 and 287.71

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Solution

The fourth proportional to 476.84, 657.92 and 287.71 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.84 : 657.92 = 287.71 : x
  2. Step 2: Convert to fraction form
    476.84/657.92 = 287.71/x
  3. Step 3: Cross multiply
    476.84x = 657.92 × 287.71
  4. Step 4: Simplify right side
    476.84x = 189,289.24
  5. Step 5: Solve for x
    x = 189,289.24/476.84
  6. Step 6: Final answer
    x = 396.96

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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.