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Finding the Fourth Proportional to 1,131.99, 1,698.05 and 482.50

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Solution

The fourth proportional to 1,131.99, 1,698.05 and 482.50 is: 723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.99 : 1,698.05 = 482.50 : x
  2. Step 2: Convert to fraction form
    1,131.99/1,698.05 = 482.50/x
  3. Step 3: Cross multiply
    1,131.99x = 1,698.05 × 482.50
  4. Step 4: Simplify right side
    1,131.99x = 819,309.13
  5. Step 5: Solve for x
    x = 819,309.13/1,131.99
  6. Step 6: Final answer
    x = 723.78

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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.