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Finding the Fourth Proportional to 711.41, 980.53 and 489.97

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Solution

The fourth proportional to 711.41, 980.53 and 489.97 is: 675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.41 : 980.53 = 489.97 : x
  2. Step 2: Convert to fraction form
    711.41/980.53 = 489.97/x
  3. Step 3: Cross multiply
    711.41x = 980.53 × 489.97
  4. Step 4: Simplify right side
    711.41x = 480,430.28
  5. Step 5: Solve for x
    x = 480,430.28/711.41
  6. Step 6: Final answer
    x = 675.32

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Why These Related Problems?

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