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Finding the Fourth Proportional to 1,188.41, 1,781.85 and 495.55

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Solution

The fourth proportional to 1,188.41, 1,781.85 and 495.55 is: 743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.41 : 1,781.85 = 495.55 : x
  2. Step 2: Convert to fraction form
    1,188.41/1,781.85 = 495.55/x
  3. Step 3: Cross multiply
    1,188.41x = 1,781.85 × 495.55
  4. Step 4: Simplify right side
    1,188.41x = 882,993.29
  5. Step 5: Solve for x
    x = 882,993.29/1,188.41
  6. Step 6: Final answer
    x = 743.01

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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.