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Finding the Fourth Proportional to 1,660.69, 2,491.31 and 565.03

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Solution

The fourth proportional to 1,660.69, 2,491.31 and 565.03 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.69 : 2,491.31 = 565.03 : x
  2. Step 2: Convert to fraction form
    1,660.69/2,491.31 = 565.03/x
  3. Step 3: Cross multiply
    1,660.69x = 2,491.31 × 565.03
  4. Step 4: Simplify right side
    1,660.69x = 1,407,664.89
  5. Step 5: Solve for x
    x = 1,407,664.89/1,660.69
  6. Step 6: Final answer
    x = 847.64

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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.