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Finding the Fourth Proportional to 1,711.94, 2,570.11 and 890.78

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Solution

The fourth proportional to 1,711.94, 2,570.11 and 890.78 is: 1,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.94 : 2,570.11 = 890.78 : x
  2. Step 2: Convert to fraction form
    1,711.94/2,570.11 = 890.78/x
  3. Step 3: Cross multiply
    1,711.94x = 2,570.11 × 890.78
  4. Step 4: Simplify right side
    1,711.94x = 2,289,387.51
  5. Step 5: Solve for x
    x = 2,289,387.51/1,711.94
  6. Step 6: Final answer
    x = 1,337.31

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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.