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Finding the Fourth Proportional to 1,310.76, 1,808.94 and 813.42

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Solution

The fourth proportional to 1,310.76, 1,808.94 and 813.42 is: 1,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.76 : 1,808.94 = 813.42 : x
  2. Step 2: Convert to fraction form
    1,310.76/1,808.94 = 813.42/x
  3. Step 3: Cross multiply
    1,310.76x = 1,808.94 × 813.42
  4. Step 4: Simplify right side
    1,310.76x = 1,471,427.97
  5. Step 5: Solve for x
    x = 1,471,427.97/1,310.76
  6. Step 6: Final answer
    x = 1,122.58

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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.