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Finding the Fourth Proportional to 989.52, 1,363.08 and 945.36

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Solution

The fourth proportional to 989.52, 1,363.08 and 945.36 is: 1,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.52 : 1,363.08 = 945.36 : x
  2. Step 2: Convert to fraction form
    989.52/1,363.08 = 945.36/x
  3. Step 3: Cross multiply
    989.52x = 1,363.08 × 945.36
  4. Step 4: Simplify right side
    989.52x = 1,288,601.31
  5. Step 5: Solve for x
    x = 1,288,601.31/989.52
  6. Step 6: Final answer
    x = 1,302.25

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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.