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Finding the Fourth Proportional to 710.86, 980.61 and 489.43

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Solution

The fourth proportional to 710.86, 980.61 and 489.43 is: 675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 980.61 = 489.43 : x
  2. Step 2: Convert to fraction form
    710.86/980.61 = 489.43/x
  3. Step 3: Cross multiply
    710.86x = 980.61 × 489.43
  4. Step 4: Simplify right side
    710.86x = 479,939.34
  5. Step 5: Solve for x
    x = 479,939.34/710.86
  6. Step 6: Final answer
    x = 675.15

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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.