Home / 1,123.55-1,682.87-926.34

Finding the Fourth Proportional to 1,123.55, 1,682.87 and 926.34

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Solution

The fourth proportional to 1,123.55, 1,682.87 and 926.34 is: 1,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.55 : 1,682.87 = 926.34 : x
  2. Step 2: Convert to fraction form
    1,123.55/1,682.87 = 926.34/x
  3. Step 3: Cross multiply
    1,123.55x = 1,682.87 × 926.34
  4. Step 4: Simplify right side
    1,123.55x = 1,558,903.70
  5. Step 5: Solve for x
    x = 1,558,903.70/1,123.55
  6. Step 6: Final answer
    x = 1,387.48

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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.