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Finding the Fourth Proportional to 1,061.88, 1,583.97 and 889.65

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Solution

The fourth proportional to 1,061.88, 1,583.97 and 889.65 is: 1,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.88 : 1,583.97 = 889.65 : x
  2. Step 2: Convert to fraction form
    1,061.88/1,583.97 = 889.65/x
  3. Step 3: Cross multiply
    1,061.88x = 1,583.97 × 889.65
  4. Step 4: Simplify right side
    1,061.88x = 1,409,178.91
  5. Step 5: Solve for x
    x = 1,409,178.91/1,061.88
  6. Step 6: Final answer
    x = 1,327.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.