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Finding the Fourth Proportional to 766.09, 1,148.62 and 620.02

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Solution

The fourth proportional to 766.09, 1,148.62 and 620.02 is: 929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.09 : 1,148.62 = 620.02 : x
  2. Step 2: Convert to fraction form
    766.09/1,148.62 = 620.02/x
  3. Step 3: Cross multiply
    766.09x = 1,148.62 × 620.02
  4. Step 4: Simplify right side
    766.09x = 712,167.37
  5. Step 5: Solve for x
    x = 712,167.37/766.09
  6. Step 6: Final answer
    x = 929.61

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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.