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Finding the Fourth Proportional to 1,089.84, 1,632.90 and 780.12

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Solution

The fourth proportional to 1,089.84, 1,632.90 and 780.12 is: 1,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.84 : 1,632.90 = 780.12 : x
  2. Step 2: Convert to fraction form
    1,089.84/1,632.90 = 780.12/x
  3. Step 3: Cross multiply
    1,089.84x = 1,632.90 × 780.12
  4. Step 4: Simplify right side
    1,089.84x = 1,273,857.95
  5. Step 5: Solve for x
    x = 1,273,857.95/1,089.84
  6. Step 6: Final answer
    x = 1,168.85

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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.