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Finding the Fourth Proportional to 1,310.43, 1,808.39 and 750.89

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Solution

The fourth proportional to 1,310.43, 1,808.39 and 750.89 is: 1,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.43 : 1,808.39 = 750.89 : x
  2. Step 2: Convert to fraction form
    1,310.43/1,808.39 = 750.89/x
  3. Step 3: Cross multiply
    1,310.43x = 1,808.39 × 750.89
  4. Step 4: Simplify right side
    1,310.43x = 1,357,901.97
  5. Step 5: Solve for x
    x = 1,357,901.97/1,310.43
  6. Step 6: Final answer
    x = 1,036.23

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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.