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Finding the Fourth Proportional to 476.03, 712.82 and 421.76

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Solution

The fourth proportional to 476.03, 712.82 and 421.76 is: 631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.03 : 712.82 = 421.76 : x
  2. Step 2: Convert to fraction form
    476.03/712.82 = 421.76/x
  3. Step 3: Cross multiply
    476.03x = 712.82 × 421.76
  4. Step 4: Simplify right side
    476.03x = 300,636.45
  5. Step 5: Solve for x
    x = 300,636.45/476.03
  6. Step 6: Final answer
    x = 631.56

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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.