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Finding the Fourth Proportional to 1,188.08, 1,782.14 and 408.08

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Solution

The fourth proportional to 1,188.08, 1,782.14 and 408.08 is: 612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.08 : 1,782.14 = 408.08 : x
  2. Step 2: Convert to fraction form
    1,188.08/1,782.14 = 408.08/x
  3. Step 3: Cross multiply
    1,188.08x = 1,782.14 × 408.08
  4. Step 4: Simplify right side
    1,188.08x = 727,252.26
  5. Step 5: Solve for x
    x = 727,252.26/1,188.08
  6. Step 6: Final answer
    x = 612.13

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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.