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Finding the Fourth Proportional to 1,305.34, 1,954.96 and 654.50

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Solution

The fourth proportional to 1,305.34, 1,954.96 and 654.50 is: 980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.34 : 1,954.96 = 654.50 : x
  2. Step 2: Convert to fraction form
    1,305.34/1,954.96 = 654.50/x
  3. Step 3: Cross multiply
    1,305.34x = 1,954.96 × 654.50
  4. Step 4: Simplify right side
    1,305.34x = 1,279,521.32
  5. Step 5: Solve for x
    x = 1,279,521.32/1,305.34
  6. Step 6: Final answer
    x = 980.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.