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Finding the Fourth Proportional to 1,331.52, 1,833.06 and 999.39

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Solution

The fourth proportional to 1,331.52, 1,833.06 and 999.39 is: 1,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.52 : 1,833.06 = 999.39 : x
  2. Step 2: Convert to fraction form
    1,331.52/1,833.06 = 999.39/x
  3. Step 3: Cross multiply
    1,331.52x = 1,833.06 × 999.39
  4. Step 4: Simplify right side
    1,331.52x = 1,831,941.83
  5. Step 5: Solve for x
    x = 1,831,941.83/1,331.52
  6. Step 6: Final answer
    x = 1,375.83

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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.