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Finding the Fourth Proportional to 1,335.59, 1,999.89 and 943.48

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Solution

The fourth proportional to 1,335.59, 1,999.89 and 943.48 is: 1,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.59 : 1,999.89 = 943.48 : x
  2. Step 2: Convert to fraction form
    1,335.59/1,999.89 = 943.48/x
  3. Step 3: Cross multiply
    1,335.59x = 1,999.89 × 943.48
  4. Step 4: Simplify right side
    1,335.59x = 1,886,856.22
  5. Step 5: Solve for x
    x = 1,886,856.22/1,335.59
  6. Step 6: Final answer
    x = 1,412.75

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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.