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Finding the Fourth Proportional to 1,346.44, 2,019.69 and 372.58

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Solution

The fourth proportional to 1,346.44, 2,019.69 and 372.58 is: 558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.44 : 2,019.69 = 372.58 : x
  2. Step 2: Convert to fraction form
    1,346.44/2,019.69 = 372.58/x
  3. Step 3: Cross multiply
    1,346.44x = 2,019.69 × 372.58
  4. Step 4: Simplify right side
    1,346.44x = 752,496.10
  5. Step 5: Solve for x
    x = 752,496.10/1,346.44
  6. Step 6: Final answer
    x = 558.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.