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Finding the Fourth Proportional to 1,135.14, 1,698.90 and 859.70

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Solution

The fourth proportional to 1,135.14, 1,698.90 and 859.70 is: 1,286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.14 : 1,698.90 = 859.70 : x
  2. Step 2: Convert to fraction form
    1,135.14/1,698.90 = 859.70/x
  3. Step 3: Cross multiply
    1,135.14x = 1,698.90 × 859.70
  4. Step 4: Simplify right side
    1,135.14x = 1,460,544.33
  5. Step 5: Solve for x
    x = 1,460,544.33/1,135.14
  6. Step 6: Final answer
    x = 1,286.66

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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.