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Finding the Fourth Proportional to 1,188.11, 1,782.32 and 407.90

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Solution

The fourth proportional to 1,188.11, 1,782.32 and 407.90 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.11 : 1,782.32 = 407.90 : x
  2. Step 2: Convert to fraction form
    1,188.11/1,782.32 = 407.90/x
  3. Step 3: Cross multiply
    1,188.11x = 1,782.32 × 407.90
  4. Step 4: Simplify right side
    1,188.11x = 726,997.38
  5. Step 5: Solve for x
    x = 726,997.38/1,188.11
  6. Step 6: Final answer
    x = 611.89

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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.