Home / 1,178.28-1,767.33-312.57

Finding the Fourth Proportional to 1,178.28, 1,767.33 and 312.57

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Solution

The fourth proportional to 1,178.28, 1,767.33 and 312.57 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.28 : 1,767.33 = 312.57 : x
  2. Step 2: Convert to fraction form
    1,178.28/1,767.33 = 312.57/x
  3. Step 3: Cross multiply
    1,178.28x = 1,767.33 × 312.57
  4. Step 4: Simplify right side
    1,178.28x = 552,414.34
  5. Step 5: Solve for x
    x = 552,414.34/1,178.28
  6. Step 6: Final answer
    x = 468.83

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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.