Home / 1,632.40-2,447.16-767.76

Finding the Fourth Proportional to 1,632.40, 2,447.16 and 767.76

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Solution

The fourth proportional to 1,632.40, 2,447.16 and 767.76 is: 1,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.40 : 2,447.16 = 767.76 : x
  2. Step 2: Convert to fraction form
    1,632.40/2,447.16 = 767.76/x
  3. Step 3: Cross multiply
    1,632.40x = 2,447.16 × 767.76
  4. Step 4: Simplify right side
    1,632.40x = 1,878,831.56
  5. Step 5: Solve for x
    x = 1,878,831.56/1,632.40
  6. Step 6: Final answer
    x = 1,150.96

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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.