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Finding the Fourth Proportional to 476.76, 712.98 and 426.14

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Solution

The fourth proportional to 476.76, 712.98 and 426.14 is: 637.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 712.98 = 426.14 : x
  2. Step 2: Convert to fraction form
    476.76/712.98 = 426.14/x
  3. Step 3: Cross multiply
    476.76x = 712.98 × 426.14
  4. Step 4: Simplify right side
    476.76x = 303,825.73
  5. Step 5: Solve for x
    x = 303,825.73/476.76
  6. Step 6: Final answer
    x = 637.27

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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.