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Finding the Fourth Proportional to 1,178.86, 1,626.15 and 764.86

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Solution

The fourth proportional to 1,178.86, 1,626.15 and 764.86 is: 1,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.86 : 1,626.15 = 764.86 : x
  2. Step 2: Convert to fraction form
    1,178.86/1,626.15 = 764.86/x
  3. Step 3: Cross multiply
    1,178.86x = 1,626.15 × 764.86
  4. Step 4: Simplify right side
    1,178.86x = 1,243,777.09
  5. Step 5: Solve for x
    x = 1,243,777.09/1,178.86
  6. Step 6: Final answer
    x = 1,055.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.