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Finding the Fourth Proportional to 1,134.60, 1,698.31 and 786.16

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Solution

The fourth proportional to 1,134.60, 1,698.31 and 786.16 is: 1,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.60 : 1,698.31 = 786.16 : x
  2. Step 2: Convert to fraction form
    1,134.60/1,698.31 = 786.16/x
  3. Step 3: Cross multiply
    1,134.60x = 1,698.31 × 786.16
  4. Step 4: Simplify right side
    1,134.60x = 1,335,143.39
  5. Step 5: Solve for x
    x = 1,335,143.39/1,134.60
  6. Step 6: Final answer
    x = 1,176.75

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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.