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Finding the Fourth Proportional to 1,078.88, 1,487.90 and 680.09

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Solution

The fourth proportional to 1,078.88, 1,487.90 and 680.09 is: 937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.88 : 1,487.90 = 680.09 : x
  2. Step 2: Convert to fraction form
    1,078.88/1,487.90 = 680.09/x
  3. Step 3: Cross multiply
    1,078.88x = 1,487.90 × 680.09
  4. Step 4: Simplify right side
    1,078.88x = 1,011,900.17
  5. Step 5: Solve for x
    x = 1,011,900.17/1,078.88
  6. Step 6: Final answer
    x = 937.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.