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Finding the Fourth Proportional to 1,346.52, 1,858.22 and 749.06

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Solution

The fourth proportional to 1,346.52, 1,858.22 and 749.06 is: 1,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.52 : 1,858.22 = 749.06 : x
  2. Step 2: Convert to fraction form
    1,346.52/1,858.22 = 749.06/x
  3. Step 3: Cross multiply
    1,346.52x = 1,858.22 × 749.06
  4. Step 4: Simplify right side
    1,346.52x = 1,391,918.68
  5. Step 5: Solve for x
    x = 1,391,918.68/1,346.52
  6. Step 6: Final answer
    x = 1,033.72

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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.