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Finding the Fourth Proportional to 1,322.65, 1,984.08 and 348.75

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Solution

The fourth proportional to 1,322.65, 1,984.08 and 348.75 is: 523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.65 : 1,984.08 = 348.75 : x
  2. Step 2: Convert to fraction form
    1,322.65/1,984.08 = 348.75/x
  3. Step 3: Cross multiply
    1,322.65x = 1,984.08 × 348.75
  4. Step 4: Simplify right side
    1,322.65x = 691,949.21
  5. Step 5: Solve for x
    x = 691,949.21/1,322.65
  6. Step 6: Final answer
    x = 523.15

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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.