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Finding the Fourth Proportional to 1,245.69, 1,719.08 and 686.18

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Solution

The fourth proportional to 1,245.69, 1,719.08 and 686.18 is: 946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.69 : 1,719.08 = 686.18 : x
  2. Step 2: Convert to fraction form
    1,245.69/1,719.08 = 686.18/x
  3. Step 3: Cross multiply
    1,245.69x = 1,719.08 × 686.18
  4. Step 4: Simplify right side
    1,245.69x = 1,179,604.33
  5. Step 5: Solve for x
    x = 1,179,604.33/1,245.69
  6. Step 6: Final answer
    x = 946.95

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Half scale
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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.