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Finding the Fourth Proportional to 1,711.80, 2,565.57 and 889.59

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Solution

The fourth proportional to 1,711.80, 2,565.57 and 889.59 is: 1,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.80 : 2,565.57 = 889.59 : x
  2. Step 2: Convert to fraction form
    1,711.80/2,565.57 = 889.59/x
  3. Step 3: Cross multiply
    1,711.80x = 2,565.57 × 889.59
  4. Step 4: Simplify right side
    1,711.80x = 2,282,305.42
  5. Step 5: Solve for x
    x = 2,282,305.42/1,711.80
  6. Step 6: Final answer
    x = 1,333.28

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1.5x scale

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.