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Finding the Fourth Proportional to 1,322.37, 1,983.19 and 397.72

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Solution

The fourth proportional to 1,322.37, 1,983.19 and 397.72 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.37 : 1,983.19 = 397.72 : x
  2. Step 2: Convert to fraction form
    1,322.37/1,983.19 = 397.72/x
  3. Step 3: Cross multiply
    1,322.37x = 1,983.19 × 397.72
  4. Step 4: Simplify right side
    1,322.37x = 788,742.42
  5. Step 5: Solve for x
    x = 788,742.42/1,322.37
  6. Step 6: Final answer
    x = 596.46

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1.5x scale

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.