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Finding the Fourth Proportional to 1,087.99, 1,632.45 and 539.85

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Solution

The fourth proportional to 1,087.99, 1,632.45 and 539.85 is: 810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.99 : 1,632.45 = 539.85 : x
  2. Step 2: Convert to fraction form
    1,087.99/1,632.45 = 539.85/x
  3. Step 3: Cross multiply
    1,087.99x = 1,632.45 × 539.85
  4. Step 4: Simplify right side
    1,087.99x = 881,286.28
  5. Step 5: Solve for x
    x = 881,286.28/1,087.99
  6. Step 6: Final answer
    x = 810.02

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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.