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Finding the Fourth Proportional to 1,322.20, 1,983.30 and 933.40

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Solution

The fourth proportional to 1,322.20, 1,983.30 and 933.40 is: 1,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.20 : 1,983.30 = 933.40 : x
  2. Step 2: Convert to fraction form
    1,322.20/1,983.30 = 933.40/x
  3. Step 3: Cross multiply
    1,322.20x = 1,983.30 × 933.40
  4. Step 4: Simplify right side
    1,322.20x = 1,851,212.22
  5. Step 5: Solve for x
    x = 1,851,212.22/1,322.20
  6. Step 6: Final answer
    x = 1,400.10

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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.