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Finding the Fourth Proportional to 477.74, 716.31 and 420.08

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Solution

The fourth proportional to 477.74, 716.31 and 420.08 is: 629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 716.31 = 420.08 : x
  2. Step 2: Convert to fraction form
    477.74/716.31 = 420.08/x
  3. Step 3: Cross multiply
    477.74x = 716.31 × 420.08
  4. Step 4: Simplify right side
    477.74x = 300,903.92
  5. Step 5: Solve for x
    x = 300,903.92/477.74
  6. Step 6: Final answer
    x = 629.86

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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.