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Finding the Fourth Proportional to 708.42, 1,062.69 and 419.25

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Solution

The fourth proportional to 708.42, 1,062.69 and 419.25 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.42 : 1,062.69 = 419.25 : x
  2. Step 2: Convert to fraction form
    708.42/1,062.69 = 419.25/x
  3. Step 3: Cross multiply
    708.42x = 1,062.69 × 419.25
  4. Step 4: Simplify right side
    708.42x = 445,532.78
  5. Step 5: Solve for x
    x = 445,532.78/708.42
  6. Step 6: Final answer
    x = 628.91

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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.