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Finding the Fourth Proportional to 709.80, 980.10 and 489.48

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Solution

The fourth proportional to 709.80, 980.10 and 489.48 is: 675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.80 : 980.10 = 489.48 : x
  2. Step 2: Convert to fraction form
    709.80/980.10 = 489.48/x
  3. Step 3: Cross multiply
    709.80x = 980.10 × 489.48
  4. Step 4: Simplify right side
    709.80x = 479,739.35
  5. Step 5: Solve for x
    x = 479,739.35/709.80
  6. Step 6: Final answer
    x = 675.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.