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Finding the Fourth Proportional to 1,322.87, 1,984.37 and 500.99

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Solution

The fourth proportional to 1,322.87, 1,984.37 and 500.99 is: 751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.87 : 1,984.37 = 500.99 : x
  2. Step 2: Convert to fraction form
    1,322.87/1,984.37 = 500.99/x
  3. Step 3: Cross multiply
    1,322.87x = 1,984.37 × 500.99
  4. Step 4: Simplify right side
    1,322.87x = 994,137.10
  5. Step 5: Solve for x
    x = 994,137.10/1,322.87
  6. Step 6: Final answer
    x = 751.50

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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.