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Finding the Fourth Proportional to 1,600.71, 2,209.46 and 1,011.65

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Solution

The fourth proportional to 1,600.71, 2,209.46 and 1,011.65 is: 1,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.71 : 2,209.46 = 1,011.65 : x
  2. Step 2: Convert to fraction form
    1,600.71/2,209.46 = 1,011.65/x
  3. Step 3: Cross multiply
    1,600.71x = 2,209.46 × 1,011.65
  4. Step 4: Simplify right side
    1,600.71x = 2,235,184.10
  5. Step 5: Solve for x
    x = 2,235,184.10/1,600.71
  6. Step 6: Final answer
    x = 1,396.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.