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Finding the Fourth Proportional to 1,052.84, 1,577.52 and 640.73

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Solution

The fourth proportional to 1,052.84, 1,577.52 and 640.73 is: 960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.84 : 1,577.52 = 640.73 : x
  2. Step 2: Convert to fraction form
    1,052.84/1,577.52 = 640.73/x
  3. Step 3: Cross multiply
    1,052.84x = 1,577.52 × 640.73
  4. Step 4: Simplify right side
    1,052.84x = 1,010,764.39
  5. Step 5: Solve for x
    x = 1,010,764.39/1,052.84
  6. Step 6: Final answer
    x = 960.04

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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.