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Finding the Fourth Proportional to 1,236.94, 1,706.96 and 677.40

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Solution

The fourth proportional to 1,236.94, 1,706.96 and 677.40 is: 934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.94 : 1,706.96 = 677.40 : x
  2. Step 2: Convert to fraction form
    1,236.94/1,706.96 = 677.40/x
  3. Step 3: Cross multiply
    1,236.94x = 1,706.96 × 677.40
  4. Step 4: Simplify right side
    1,236.94x = 1,156,294.70
  5. Step 5: Solve for x
    x = 1,156,294.70/1,236.94
  6. Step 6: Final answer
    x = 934.80

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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.