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Finding the Fourth Proportional to 1,091.70, 1,505.31 and 986.76

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Solution

The fourth proportional to 1,091.70, 1,505.31 and 986.76 is: 1,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.70 : 1,505.31 = 986.76 : x
  2. Step 2: Convert to fraction form
    1,091.70/1,505.31 = 986.76/x
  3. Step 3: Cross multiply
    1,091.70x = 1,505.31 × 986.76
  4. Step 4: Simplify right side
    1,091.70x = 1,485,379.70
  5. Step 5: Solve for x
    x = 1,485,379.70/1,091.70
  6. Step 6: Final answer
    x = 1,360.61

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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.