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Finding the Fourth Proportional to 1,188.55, 1,782.26 and 661.40

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Solution

The fourth proportional to 1,188.55, 1,782.26 and 661.40 is: 991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.55 : 1,782.26 = 661.40 : x
  2. Step 2: Convert to fraction form
    1,188.55/1,782.26 = 661.40/x
  3. Step 3: Cross multiply
    1,188.55x = 1,782.26 × 661.40
  4. Step 4: Simplify right side
    1,188.55x = 1,178,786.76
  5. Step 5: Solve for x
    x = 1,178,786.76/1,188.55
  6. Step 6: Final answer
    x = 991.79

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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.