Home / 1,180.20-1,770.28-314.50

Finding the Fourth Proportional to 1,180.20, 1,770.28 and 314.50

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Solution

The fourth proportional to 1,180.20, 1,770.28 and 314.50 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.20 : 1,770.28 = 314.50 : x
  2. Step 2: Convert to fraction form
    1,180.20/1,770.28 = 314.50/x
  3. Step 3: Cross multiply
    1,180.20x = 1,770.28 × 314.50
  4. Step 4: Simplify right side
    1,180.20x = 556,753.06
  5. Step 5: Solve for x
    x = 556,753.06/1,180.20
  6. Step 6: Final answer
    x = 471.74

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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.