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Finding the Fourth Proportional to 476.92, 714.70 and 257.19

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Solution

The fourth proportional to 476.92, 714.70 and 257.19 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.92 : 714.70 = 257.19 : x
  2. Step 2: Convert to fraction form
    476.92/714.70 = 257.19/x
  3. Step 3: Cross multiply
    476.92x = 714.70 × 257.19
  4. Step 4: Simplify right side
    476.92x = 183,813.91
  5. Step 5: Solve for x
    x = 183,813.91/476.92
  6. Step 6: Final answer
    x = 385.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.