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Finding the Fourth Proportional to 873.31, 1,310.33 and 785.83

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Solution

The fourth proportional to 873.31, 1,310.33 and 785.83 is: 1,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.31 : 1,310.33 = 785.83 : x
  2. Step 2: Convert to fraction form
    873.31/1,310.33 = 785.83/x
  3. Step 3: Cross multiply
    873.31x = 1,310.33 × 785.83
  4. Step 4: Simplify right side
    873.31x = 1,029,692.69
  5. Step 5: Solve for x
    x = 1,029,692.69/873.31
  6. Step 6: Final answer
    x = 1,179.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.