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Finding the Fourth Proportional to 1,310.42, 1,809.25 and 813.80

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Solution

The fourth proportional to 1,310.42, 1,809.25 and 813.80 is: 1,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.42 : 1,809.25 = 813.80 : x
  2. Step 2: Convert to fraction form
    1,310.42/1,809.25 = 813.80/x
  3. Step 3: Cross multiply
    1,310.42x = 1,809.25 × 813.80
  4. Step 4: Simplify right side
    1,310.42x = 1,472,370.14
  5. Step 5: Solve for x
    x = 1,472,370.14/1,310.42
  6. Step 6: Final answer
    x = 1,123.58

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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.