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Finding the Fourth Proportional to 833.40, 1,243.56 and 814.80

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Solution

The fourth proportional to 833.40, 1,243.56 and 814.80 is: 1,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.40 : 1,243.56 = 814.80 : x
  2. Step 2: Convert to fraction form
    833.40/1,243.56 = 814.80/x
  3. Step 3: Cross multiply
    833.40x = 1,243.56 × 814.80
  4. Step 4: Simplify right side
    833.40x = 1,013,252.69
  5. Step 5: Solve for x
    x = 1,013,252.69/833.40
  6. Step 6: Final answer
    x = 1,215.81

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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.