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Finding the Fourth Proportional to 931.90, 1,283.40 and 813.82

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Solution

The fourth proportional to 931.90, 1,283.40 and 813.82 is: 1,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.90 : 1,283.40 = 813.82 : x
  2. Step 2: Convert to fraction form
    931.90/1,283.40 = 813.82/x
  3. Step 3: Cross multiply
    931.90x = 1,283.40 × 813.82
  4. Step 4: Simplify right side
    931.90x = 1,044,456.59
  5. Step 5: Solve for x
    x = 1,044,456.59/931.90
  6. Step 6: Final answer
    x = 1,120.78

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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.