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Finding the Fourth Proportional to 708.66, 1,062.45 and 419.76

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Solution

The fourth proportional to 708.66, 1,062.45 and 419.76 is: 629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.66 : 1,062.45 = 419.76 : x
  2. Step 2: Convert to fraction form
    708.66/1,062.45 = 419.76/x
  3. Step 3: Cross multiply
    708.66x = 1,062.45 × 419.76
  4. Step 4: Simplify right side
    708.66x = 445,974.01
  5. Step 5: Solve for x
    x = 445,974.01/708.66
  6. Step 6: Final answer
    x = 629.32

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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.