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Finding the Fourth Proportional to 1,178.40, 1,755.07 and 1,146.12

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Solution

The fourth proportional to 1,178.40, 1,755.07 and 1,146.12 is: 1,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.40 : 1,755.07 = 1,146.12 : x
  2. Step 2: Convert to fraction form
    1,178.40/1,755.07 = 1,146.12/x
  3. Step 3: Cross multiply
    1,178.40x = 1,755.07 × 1,146.12
  4. Step 4: Simplify right side
    1,178.40x = 2,011,520.83
  5. Step 5: Solve for x
    x = 2,011,520.83/1,178.40
  6. Step 6: Final answer
    x = 1,706.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.