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Finding the Fourth Proportional to 476.97, 714.62 and 417.75

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Solution

The fourth proportional to 476.97, 714.62 and 417.75 is: 625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.97 : 714.62 = 417.75 : x
  2. Step 2: Convert to fraction form
    476.97/714.62 = 417.75/x
  3. Step 3: Cross multiply
    476.97x = 714.62 × 417.75
  4. Step 4: Simplify right side
    476.97x = 298,529.30
  5. Step 5: Solve for x
    x = 298,529.30/476.97
  6. Step 6: Final answer
    x = 625.88

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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.