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Finding the Fourth Proportional to 708.68, 1,061.56 and 419.96

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Solution

The fourth proportional to 708.68, 1,061.56 and 419.96 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 1,061.56 = 419.96 : x
  2. Step 2: Convert to fraction form
    708.68/1,061.56 = 419.96/x
  3. Step 3: Cross multiply
    708.68x = 1,061.56 × 419.96
  4. Step 4: Simplify right side
    708.68x = 445,812.74
  5. Step 5: Solve for x
    x = 445,812.74/708.68
  6. Step 6: Final answer
    x = 629.07

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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.