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Finding the Fourth Proportional to 1,078.14, 1,487.66 and 635.88

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Solution

The fourth proportional to 1,078.14, 1,487.66 and 635.88 is: 877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.14 : 1,487.66 = 635.88 : x
  2. Step 2: Convert to fraction form
    1,078.14/1,487.66 = 635.88/x
  3. Step 3: Cross multiply
    1,078.14x = 1,487.66 × 635.88
  4. Step 4: Simplify right side
    1,078.14x = 945,973.24
  5. Step 5: Solve for x
    x = 945,973.24/1,078.14
  6. Step 6: Final answer
    x = 877.41

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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.