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Finding the Fourth Proportional to 1,340.80, 2,011.20 and 475.84

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Solution

The fourth proportional to 1,340.80, 2,011.20 and 475.84 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.80 : 2,011.20 = 475.84 : x
  2. Step 2: Convert to fraction form
    1,340.80/2,011.20 = 475.84/x
  3. Step 3: Cross multiply
    1,340.80x = 2,011.20 × 475.84
  4. Step 4: Simplify right side
    1,340.80x = 957,009.41
  5. Step 5: Solve for x
    x = 957,009.41/1,340.80
  6. Step 6: Final answer
    x = 713.76

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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.