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Finding the Fourth Proportional to 476.37, 711.29 and 421.83

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Solution

The fourth proportional to 476.37, 711.29 and 421.83 is: 629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.37 : 711.29 = 421.83 : x
  2. Step 2: Convert to fraction form
    476.37/711.29 = 421.83/x
  3. Step 3: Cross multiply
    476.37x = 711.29 × 421.83
  4. Step 4: Simplify right side
    476.37x = 300,044.52
  5. Step 5: Solve for x
    x = 300,044.52/476.37
  6. Step 6: Final answer
    x = 629.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.