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Finding the Fourth Proportional to 1,322.25, 1,982.90 and 591.45

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Solution

The fourth proportional to 1,322.25, 1,982.90 and 591.45 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.25 : 1,982.90 = 591.45 : x
  2. Step 2: Convert to fraction form
    1,322.25/1,982.90 = 591.45/x
  3. Step 3: Cross multiply
    1,322.25x = 1,982.90 × 591.45
  4. Step 4: Simplify right side
    1,322.25x = 1,172,783.25
  5. Step 5: Solve for x
    x = 1,172,783.25/1,322.25
  6. Step 6: Final answer
    x = 886.96

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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.