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Finding the Fourth Proportional to 1,322.79, 1,984.01 and 348.96

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Solution

The fourth proportional to 1,322.79, 1,984.01 and 348.96 is: 523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.79 : 1,984.01 = 348.96 : x
  2. Step 2: Convert to fraction form
    1,322.79/1,984.01 = 348.96/x
  3. Step 3: Cross multiply
    1,322.79x = 1,984.01 × 348.96
  4. Step 4: Simplify right side
    1,322.79x = 692,338.38
  5. Step 5: Solve for x
    x = 692,338.38/1,322.79
  6. Step 6: Final answer
    x = 523.39

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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.