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Finding the Fourth Proportional to 476.65, 713.76 and 422.38

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Solution

The fourth proportional to 476.65, 713.76 and 422.38 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.65 : 713.76 = 422.38 : x
  2. Step 2: Convert to fraction form
    476.65/713.76 = 422.38/x
  3. Step 3: Cross multiply
    476.65x = 713.76 × 422.38
  4. Step 4: Simplify right side
    476.65x = 301,477.95
  5. Step 5: Solve for x
    x = 301,477.95/476.65
  6. Step 6: Final answer
    x = 632.49

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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.