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Finding the Fourth Proportional to 989.71, 1,367.58 and 709.48

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Solution

The fourth proportional to 989.71, 1,367.58 and 709.48 is: 980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.71 : 1,367.58 = 709.48 : x
  2. Step 2: Convert to fraction form
    989.71/1,367.58 = 709.48/x
  3. Step 3: Cross multiply
    989.71x = 1,367.58 × 709.48
  4. Step 4: Simplify right side
    989.71x = 970,270.66
  5. Step 5: Solve for x
    x = 970,270.66/989.71
  6. Step 6: Final answer
    x = 980.36

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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.