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Finding the Fourth Proportional to 1,188.30, 1,782.75 and 959.27

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Solution

The fourth proportional to 1,188.30, 1,782.75 and 959.27 is: 1,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.30 : 1,782.75 = 959.27 : x
  2. Step 2: Convert to fraction form
    1,188.30/1,782.75 = 959.27/x
  3. Step 3: Cross multiply
    1,188.30x = 1,782.75 × 959.27
  4. Step 4: Simplify right side
    1,188.30x = 1,710,138.59
  5. Step 5: Solve for x
    x = 1,710,138.59/1,188.30
  6. Step 6: Final answer
    x = 1,439.15

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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.