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Finding the Fourth Proportional to 1,263.11, 1,891.17 and 645.48

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Solution

The fourth proportional to 1,263.11, 1,891.17 and 645.48 is: 966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.11 : 1,891.17 = 645.48 : x
  2. Step 2: Convert to fraction form
    1,263.11/1,891.17 = 645.48/x
  3. Step 3: Cross multiply
    1,263.11x = 1,891.17 × 645.48
  4. Step 4: Simplify right side
    1,263.11x = 1,220,719.50
  5. Step 5: Solve for x
    x = 1,220,719.50/1,263.11
  6. Step 6: Final answer
    x = 966.44

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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.