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Finding the Fourth Proportional to 829.31, 1,242.14 and 812.70

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Solution

The fourth proportional to 829.31, 1,242.14 and 812.70 is: 1,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.31 : 1,242.14 = 812.70 : x
  2. Step 2: Convert to fraction form
    829.31/1,242.14 = 812.70/x
  3. Step 3: Cross multiply
    829.31x = 1,242.14 × 812.70
  4. Step 4: Simplify right side
    829.31x = 1,009,483.11
  5. Step 5: Solve for x
    x = 1,009,483.11/829.31
  6. Step 6: Final answer
    x = 1,217.26

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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.