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Finding the Fourth Proportional to 708.27, 1,062.40 and 419.50

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Solution

The fourth proportional to 708.27, 1,062.40 and 419.50 is: 629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.27 : 1,062.40 = 419.50 : x
  2. Step 2: Convert to fraction form
    708.27/1,062.40 = 419.50/x
  3. Step 3: Cross multiply
    708.27x = 1,062.40 × 419.50
  4. Step 4: Simplify right side
    708.27x = 445,676.80
  5. Step 5: Solve for x
    x = 445,676.80/708.27
  6. Step 6: Final answer
    x = 629.25

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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.