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Finding the Fourth Proportional to 980.25, 1,352.34 and 644.06

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Solution

The fourth proportional to 980.25, 1,352.34 and 644.06 is: 888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.25 : 1,352.34 = 644.06 : x
  2. Step 2: Convert to fraction form
    980.25/1,352.34 = 644.06/x
  3. Step 3: Cross multiply
    980.25x = 1,352.34 × 644.06
  4. Step 4: Simplify right side
    980.25x = 870,988.10
  5. Step 5: Solve for x
    x = 870,988.10/980.25
  6. Step 6: Final answer
    x = 888.54

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1.5x scale

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.