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Finding the Fourth Proportional to 1,089.07, 1,633.60 and 765.88

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Solution

The fourth proportional to 1,089.07, 1,633.60 and 765.88 is: 1,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.07 : 1,633.60 = 765.88 : x
  2. Step 2: Convert to fraction form
    1,089.07/1,633.60 = 765.88/x
  3. Step 3: Cross multiply
    1,089.07x = 1,633.60 × 765.88
  4. Step 4: Simplify right side
    1,089.07x = 1,251,141.57
  5. Step 5: Solve for x
    x = 1,251,141.57/1,089.07
  6. Step 6: Final answer
    x = 1,148.82

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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.