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Finding the Fourth Proportional to 794.96, 1,182.82 and 775.12

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Solution

The fourth proportional to 794.96, 1,182.82 and 775.12 is: 1,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.96 : 1,182.82 = 775.12 : x
  2. Step 2: Convert to fraction form
    794.96/1,182.82 = 775.12/x
  3. Step 3: Cross multiply
    794.96x = 1,182.82 × 775.12
  4. Step 4: Simplify right side
    794.96x = 916,827.44
  5. Step 5: Solve for x
    x = 916,827.44/794.96
  6. Step 6: Final answer
    x = 1,153.30

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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.