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Finding the Fourth Proportional to 1,311.66, 1,807.99 and 1,204.40

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Solution

The fourth proportional to 1,311.66, 1,807.99 and 1,204.40 is: 1,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.66 : 1,807.99 = 1,204.40 : x
  2. Step 2: Convert to fraction form
    1,311.66/1,807.99 = 1,204.40/x
  3. Step 3: Cross multiply
    1,311.66x = 1,807.99 × 1,204.40
  4. Step 4: Simplify right side
    1,311.66x = 2,177,544.66
  5. Step 5: Solve for x
    x = 2,177,544.66/1,311.66
  6. Step 6: Final answer
    x = 1,660.14

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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.