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Finding the Fourth Proportional to 476.81, 714.72 and 322.75

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Solution

The fourth proportional to 476.81, 714.72 and 322.75 is: 483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.81 : 714.72 = 322.75 : x
  2. Step 2: Convert to fraction form
    476.81/714.72 = 322.75/x
  3. Step 3: Cross multiply
    476.81x = 714.72 × 322.75
  4. Step 4: Simplify right side
    476.81x = 230,674.09
  5. Step 5: Solve for x
    x = 230,674.09/476.81
  6. Step 6: Final answer
    x = 483.79

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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.