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Finding the Fourth Proportional to 1,089.56, 1,635.06 and 512.48

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Solution

The fourth proportional to 1,089.56, 1,635.06 and 512.48 is: 769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.56 : 1,635.06 = 512.48 : x
  2. Step 2: Convert to fraction form
    1,089.56/1,635.06 = 512.48/x
  3. Step 3: Cross multiply
    1,089.56x = 1,635.06 × 512.48
  4. Step 4: Simplify right side
    1,089.56x = 837,941.56
  5. Step 5: Solve for x
    x = 837,941.56/1,089.56
  6. Step 6: Final answer
    x = 769.06

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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.