Home / 1,123.20-1,685.52-836.40

Finding the Fourth Proportional to 1,123.20, 1,685.52 and 836.40

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Solution

The fourth proportional to 1,123.20, 1,685.52 and 836.40 is: 1,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.20 : 1,685.52 = 836.40 : x
  2. Step 2: Convert to fraction form
    1,123.20/1,685.52 = 836.40/x
  3. Step 3: Cross multiply
    1,123.20x = 1,685.52 × 836.40
  4. Step 4: Simplify right side
    1,123.20x = 1,409,768.93
  5. Step 5: Solve for x
    x = 1,409,768.93/1,123.20
  6. Step 6: Final answer
    x = 1,255.14

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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.