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Finding the Fourth Proportional to 710.73, 980.77 and 489.67

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Solution

The fourth proportional to 710.73, 980.77 and 489.67 is: 675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.73 : 980.77 = 489.67 : x
  2. Step 2: Convert to fraction form
    710.73/980.77 = 489.67/x
  3. Step 3: Cross multiply
    710.73x = 980.77 × 489.67
  4. Step 4: Simplify right side
    710.73x = 480,253.65
  5. Step 5: Solve for x
    x = 480,253.65/710.73
  6. Step 6: Final answer
    x = 675.72

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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.