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Finding the Fourth Proportional to 951.40, 1,419.41 and 829.90

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Solution

The fourth proportional to 951.40, 1,419.41 and 829.90 is: 1,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.40 : 1,419.41 = 829.90 : x
  2. Step 2: Convert to fraction form
    951.40/1,419.41 = 829.90/x
  3. Step 3: Cross multiply
    951.40x = 1,419.41 × 829.90
  4. Step 4: Simplify right side
    951.40x = 1,177,968.36
  5. Step 5: Solve for x
    x = 1,177,968.36/951.40
  6. Step 6: Final answer
    x = 1,238.14

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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.