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Finding the Fourth Proportional to 1,310.81, 1,809.05 and 751.46

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Solution

The fourth proportional to 1,310.81, 1,809.05 and 751.46 is: 1,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.81 : 1,809.05 = 751.46 : x
  2. Step 2: Convert to fraction form
    1,310.81/1,809.05 = 751.46/x
  3. Step 3: Cross multiply
    1,310.81x = 1,809.05 × 751.46
  4. Step 4: Simplify right side
    1,310.81x = 1,359,428.71
  5. Step 5: Solve for x
    x = 1,359,428.71/1,310.81
  6. Step 6: Final answer
    x = 1,037.09

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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.