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Finding the Fourth Proportional to 989.25, 1,364.24 and 710.87

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Solution

The fourth proportional to 989.25, 1,364.24 and 710.87 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.25 : 1,364.24 = 710.87 : x
  2. Step 2: Convert to fraction form
    989.25/1,364.24 = 710.87/x
  3. Step 3: Cross multiply
    989.25x = 1,364.24 × 710.87
  4. Step 4: Simplify right side
    989.25x = 969,786.91
  5. Step 5: Solve for x
    x = 969,786.91/989.25
  6. Step 6: Final answer
    x = 980.33

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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.