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Finding the Fourth Proportional to 1,340.92, 2,011.74 and 475.28

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Solution

The fourth proportional to 1,340.92, 2,011.74 and 475.28 is: 713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.92 : 2,011.74 = 475.28 : x
  2. Step 2: Convert to fraction form
    1,340.92/2,011.74 = 475.28/x
  3. Step 3: Cross multiply
    1,340.92x = 2,011.74 × 475.28
  4. Step 4: Simplify right side
    1,340.92x = 956,139.79
  5. Step 5: Solve for x
    x = 956,139.79/1,340.92
  6. Step 6: Final answer
    x = 713.05

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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.