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Finding the Fourth Proportional to 1,363.64, 1,868.72 and 1,232.42

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Solution

The fourth proportional to 1,363.64, 1,868.72 and 1,232.42 is: 1,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.64 : 1,868.72 = 1,232.42 : x
  2. Step 2: Convert to fraction form
    1,363.64/1,868.72 = 1,232.42/x
  3. Step 3: Cross multiply
    1,363.64x = 1,868.72 × 1,232.42
  4. Step 4: Simplify right side
    1,363.64x = 2,303,055.66
  5. Step 5: Solve for x
    x = 2,303,055.66/1,363.64
  6. Step 6: Final answer
    x = 1,688.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.