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Finding the Fourth Proportional to 1,322.28, 1,982.64 and 591.72

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Solution

The fourth proportional to 1,322.28, 1,982.64 and 591.72 is: 887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.28 : 1,982.64 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,322.28/1,982.64 = 591.72/x
  3. Step 3: Cross multiply
    1,322.28x = 1,982.64 × 591.72
  4. Step 4: Simplify right side
    1,322.28x = 1,173,167.74
  5. Step 5: Solve for x
    x = 1,173,167.74/1,322.28
  6. Step 6: Final answer
    x = 887.23

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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.