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Finding the Fourth Proportional to 1,310.60, 1,808.31 and 786.50

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Solution

The fourth proportional to 1,310.60, 1,808.31 and 786.50 is: 1,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.60 : 1,808.31 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,310.60/1,808.31 = 786.50/x
  3. Step 3: Cross multiply
    1,310.60x = 1,808.31 × 786.50
  4. Step 4: Simplify right side
    1,310.60x = 1,422,235.82
  5. Step 5: Solve for x
    x = 1,422,235.82/1,310.60
  6. Step 6: Final answer
    x = 1,085.18

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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.