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Finding the Fourth Proportional to 1,346.71, 1,858.36 and 757.13

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Solution

The fourth proportional to 1,346.71, 1,858.36 and 757.13 is: 1,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.71 : 1,858.36 = 757.13 : x
  2. Step 2: Convert to fraction form
    1,346.71/1,858.36 = 757.13/x
  3. Step 3: Cross multiply
    1,346.71x = 1,858.36 × 757.13
  4. Step 4: Simplify right side
    1,346.71x = 1,407,020.11
  5. Step 5: Solve for x
    x = 1,407,020.11/1,346.71
  6. Step 6: Final answer
    x = 1,044.78

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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.