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Finding the Fourth Proportional to 476.40, 713.39 and 422.13

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Solution

The fourth proportional to 476.40, 713.39 and 422.13 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 713.39 = 422.13 : x
  2. Step 2: Convert to fraction form
    476.40/713.39 = 422.13/x
  3. Step 3: Cross multiply
    476.40x = 713.39 × 422.13
  4. Step 4: Simplify right side
    476.40x = 301,141.21
  5. Step 5: Solve for x
    x = 301,141.21/476.40
  6. Step 6: Final answer
    x = 632.12

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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.