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Finding the Fourth Proportional to 1,174.79, 1,760.11 and 783.87

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Solution

The fourth proportional to 1,174.79, 1,760.11 and 783.87 is: 1,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.79 : 1,760.11 = 783.87 : x
  2. Step 2: Convert to fraction form
    1,174.79/1,760.11 = 783.87/x
  3. Step 3: Cross multiply
    1,174.79x = 1,760.11 × 783.87
  4. Step 4: Simplify right side
    1,174.79x = 1,379,697.43
  5. Step 5: Solve for x
    x = 1,379,697.43/1,174.79
  6. Step 6: Final answer
    x = 1,174.42

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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.