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Finding the Fourth Proportional to 708.80, 1,062.88 and 416.60

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Solution

The fourth proportional to 708.80, 1,062.88 and 416.60 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 1,062.88 = 416.60 : x
  2. Step 2: Convert to fraction form
    708.80/1,062.88 = 416.60/x
  3. Step 3: Cross multiply
    708.80x = 1,062.88 × 416.60
  4. Step 4: Simplify right side
    708.80x = 442,795.81
  5. Step 5: Solve for x
    x = 442,795.81/708.80
  6. Step 6: Final answer
    x = 624.71

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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.