Home / 1,120.23-1,680.32-470.95

Finding the Fourth Proportional to 1,120.23, 1,680.32 and 470.95

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Solution

The fourth proportional to 1,120.23, 1,680.32 and 470.95 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.23 : 1,680.32 = 470.95 : x
  2. Step 2: Convert to fraction form
    1,120.23/1,680.32 = 470.95/x
  3. Step 3: Cross multiply
    1,120.23x = 1,680.32 × 470.95
  4. Step 4: Simplify right side
    1,120.23x = 791,343.68
  5. Step 5: Solve for x
    x = 791,343.68/1,120.23
  6. Step 6: Final answer
    x = 706.41

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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.