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Finding the Fourth Proportional to 786.71, 1,174.08 and 754.92

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Solution

The fourth proportional to 786.71, 1,174.08 and 754.92 is: 1,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.71 : 1,174.08 = 754.92 : x
  2. Step 2: Convert to fraction form
    786.71/1,174.08 = 754.92/x
  3. Step 3: Cross multiply
    786.71x = 1,174.08 × 754.92
  4. Step 4: Simplify right side
    786.71x = 886,339.30
  5. Step 5: Solve for x
    x = 886,339.30/786.71
  6. Step 6: Final answer
    x = 1,126.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.