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Finding the Fourth Proportional to 1,310.10, 1,965.78 and 823.56

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Solution

The fourth proportional to 1,310.10, 1,965.78 and 823.56 is: 1,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.10 : 1,965.78 = 823.56 : x
  2. Step 2: Convert to fraction form
    1,310.10/1,965.78 = 823.56/x
  3. Step 3: Cross multiply
    1,310.10x = 1,965.78 × 823.56
  4. Step 4: Simplify right side
    1,310.10x = 1,618,937.78
  5. Step 5: Solve for x
    x = 1,618,937.78/1,310.10
  6. Step 6: Final answer
    x = 1,235.74

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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.