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Finding the Fourth Proportional to 766.51, 1,150.49 and 492.76

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Solution

The fourth proportional to 766.51, 1,150.49 and 492.76 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.51 : 1,150.49 = 492.76 : x
  2. Step 2: Convert to fraction form
    766.51/1,150.49 = 492.76/x
  3. Step 3: Cross multiply
    766.51x = 1,150.49 × 492.76
  4. Step 4: Simplify right side
    766.51x = 566,915.45
  5. Step 5: Solve for x
    x = 566,915.45/766.51
  6. Step 6: Final answer
    x = 739.61

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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.