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Finding the Fourth Proportional to 708.05, 1,061.46 and 418.88

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Solution

The fourth proportional to 708.05, 1,061.46 and 418.88 is: 627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.05 : 1,061.46 = 418.88 : x
  2. Step 2: Convert to fraction form
    708.05/1,061.46 = 418.88/x
  3. Step 3: Cross multiply
    708.05x = 1,061.46 × 418.88
  4. Step 4: Simplify right side
    708.05x = 444,619.06
  5. Step 5: Solve for x
    x = 444,619.06/708.05
  6. Step 6: Final answer
    x = 627.95

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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.