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Finding the Fourth Proportional to 476.81, 715.03 and 322.79

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Solution

The fourth proportional to 476.81, 715.03 and 322.79 is: 484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.81 : 715.03 = 322.79 : x
  2. Step 2: Convert to fraction form
    476.81/715.03 = 322.79/x
  3. Step 3: Cross multiply
    476.81x = 715.03 × 322.79
  4. Step 4: Simplify right side
    476.81x = 230,801.97
  5. Step 5: Solve for x
    x = 230,801.97/476.81
  6. Step 6: Final answer
    x = 484.05

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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.