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Finding the Fourth Proportional to 710.09, 979.40 and 489.11

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Solution

The fourth proportional to 710.09, 979.40 and 489.11 is: 674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.09 : 979.40 = 489.11 : x
  2. Step 2: Convert to fraction form
    710.09/979.40 = 489.11/x
  3. Step 3: Cross multiply
    710.09x = 979.40 × 489.11
  4. Step 4: Simplify right side
    710.09x = 479,031.89
  5. Step 5: Solve for x
    x = 479,031.89/710.09
  6. Step 6: Final answer
    x = 674.61

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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.