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Finding the Fourth Proportional to 989.73, 1,364.43 and 709.47

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Solution

The fourth proportional to 989.73, 1,364.43 and 709.47 is: 978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.73 : 1,364.43 = 709.47 : x
  2. Step 2: Convert to fraction form
    989.73/1,364.43 = 709.47/x
  3. Step 3: Cross multiply
    989.73x = 1,364.43 × 709.47
  4. Step 4: Simplify right side
    989.73x = 968,022.15
  5. Step 5: Solve for x
    x = 968,022.15/989.73
  6. Step 6: Final answer
    x = 978.07

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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.