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Finding the Fourth Proportional to 1,060.39, 1,589.69 and 828.56

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Solution

The fourth proportional to 1,060.39, 1,589.69 and 828.56 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.39 : 1,589.69 = 828.56 : x
  2. Step 2: Convert to fraction form
    1,060.39/1,589.69 = 828.56/x
  3. Step 3: Cross multiply
    1,060.39x = 1,589.69 × 828.56
  4. Step 4: Simplify right side
    1,060.39x = 1,317,159.59
  5. Step 5: Solve for x
    x = 1,317,159.59/1,060.39
  6. Step 6: Final answer
    x = 1,242.14

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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.