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Finding the Fourth Proportional to 1,322.52, 1,983.18 and 500.21

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Solution

The fourth proportional to 1,322.52, 1,983.18 and 500.21 is: 750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.52 : 1,983.18 = 500.21 : x
  2. Step 2: Convert to fraction form
    1,322.52/1,983.18 = 500.21/x
  3. Step 3: Cross multiply
    1,322.52x = 1,983.18 × 500.21
  4. Step 4: Simplify right side
    1,322.52x = 992,006.47
  5. Step 5: Solve for x
    x = 992,006.47/1,322.52
  6. Step 6: Final answer
    x = 750.09

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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.