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Finding the Fourth Proportional to 1,120.77, 1,546.41 and 678.66

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Solution

The fourth proportional to 1,120.77, 1,546.41 and 678.66 is: 936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.77 : 1,546.41 = 678.66 : x
  2. Step 2: Convert to fraction form
    1,120.77/1,546.41 = 678.66/x
  3. Step 3: Cross multiply
    1,120.77x = 1,546.41 × 678.66
  4. Step 4: Simplify right side
    1,120.77x = 1,049,484.91
  5. Step 5: Solve for x
    x = 1,049,484.91/1,120.77
  6. Step 6: Final answer
    x = 936.40

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Half scale
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Double 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.