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Finding the Fourth Proportional to 1,387.58, 1,914.08 and 863.51

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Solution

The fourth proportional to 1,387.58, 1,914.08 and 863.51 is: 1,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.58 : 1,914.08 = 863.51 : x
  2. Step 2: Convert to fraction form
    1,387.58/1,914.08 = 863.51/x
  3. Step 3: Cross multiply
    1,387.58x = 1,914.08 × 863.51
  4. Step 4: Simplify right side
    1,387.58x = 1,652,813.33
  5. Step 5: Solve for x
    x = 1,652,813.33/1,387.58
  6. Step 6: Final answer
    x = 1,191.15

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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.