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Finding the Fourth Proportional to 794.70, 1,097.82 and 762.30

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Solution

The fourth proportional to 794.70, 1,097.82 and 762.30 is: 1,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.70 : 1,097.82 = 762.30 : x
  2. Step 2: Convert to fraction form
    794.70/1,097.82 = 762.30/x
  3. Step 3: Cross multiply
    794.70x = 1,097.82 × 762.30
  4. Step 4: Simplify right side
    794.70x = 836,868.19
  5. Step 5: Solve for x
    x = 836,868.19/794.70
  6. Step 6: Final answer
    x = 1,053.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.