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Finding the Fourth Proportional to 1,176.82, 1,762.02 and 764.93

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Solution

The fourth proportional to 1,176.82, 1,762.02 and 764.93 is: 1,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.82 : 1,762.02 = 764.93 : x
  2. Step 2: Convert to fraction form
    1,176.82/1,762.02 = 764.93/x
  3. Step 3: Cross multiply
    1,176.82x = 1,762.02 × 764.93
  4. Step 4: Simplify right side
    1,176.82x = 1,347,821.96
  5. Step 5: Solve for x
    x = 1,347,821.96/1,176.82
  6. Step 6: Final answer
    x = 1,145.31

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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.