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Finding the Fourth Proportional to 1,294.25, 1,785.10 and 821.73

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Solution

The fourth proportional to 1,294.25, 1,785.10 and 821.73 is: 1,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.25 : 1,785.10 = 821.73 : x
  2. Step 2: Convert to fraction form
    1,294.25/1,785.10 = 821.73/x
  3. Step 3: Cross multiply
    1,294.25x = 1,785.10 × 821.73
  4. Step 4: Simplify right side
    1,294.25x = 1,466,866.11
  5. Step 5: Solve for x
    x = 1,466,866.11/1,294.25
  6. Step 6: Final answer
    x = 1,133.38

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1.5x scale

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.