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Finding the Fourth Proportional to 1,444.25, 2,166.39 and 794.63

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Solution

The fourth proportional to 1,444.25, 2,166.39 and 794.63 is: 1,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.25 : 2,166.39 = 794.63 : x
  2. Step 2: Convert to fraction form
    1,444.25/2,166.39 = 794.63/x
  3. Step 3: Cross multiply
    1,444.25x = 2,166.39 × 794.63
  4. Step 4: Simplify right side
    1,444.25x = 1,721,483.90
  5. Step 5: Solve for x
    x = 1,721,483.90/1,444.25
  6. Step 6: Final answer
    x = 1,191.95

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1.5x scale

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.