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Finding the Fourth Proportional to 1,188.77, 1,781.44 and 818.20

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Solution

The fourth proportional to 1,188.77, 1,781.44 and 818.20 is: 1,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.77 : 1,781.44 = 818.20 : x
  2. Step 2: Convert to fraction form
    1,188.77/1,781.44 = 818.20/x
  3. Step 3: Cross multiply
    1,188.77x = 1,781.44 × 818.20
  4. Step 4: Simplify right side
    1,188.77x = 1,457,574.21
  5. Step 5: Solve for x
    x = 1,457,574.21/1,188.77
  6. Step 6: Final answer
    x = 1,226.12

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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.