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Finding the Fourth Proportional to 1,711.65, 2,567.55 and 889.41

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Solution

The fourth proportional to 1,711.65, 2,567.55 and 889.41 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.65 : 2,567.55 = 889.41 : x
  2. Step 2: Convert to fraction form
    1,711.65/2,567.55 = 889.41/x
  3. Step 3: Cross multiply
    1,711.65x = 2,567.55 × 889.41
  4. Step 4: Simplify right side
    1,711.65x = 2,283,604.65
  5. Step 5: Solve for x
    x = 2,283,604.65/1,711.65
  6. Step 6: Final answer
    x = 1,334.15

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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.