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Finding the Fourth Proportional to 715.69, 1,071.78 and 349.30

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Solution

The fourth proportional to 715.69, 1,071.78 and 349.30 is: 523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.69 : 1,071.78 = 349.30 : x
  2. Step 2: Convert to fraction form
    715.69/1,071.78 = 349.30/x
  3. Step 3: Cross multiply
    715.69x = 1,071.78 × 349.30
  4. Step 4: Simplify right side
    715.69x = 374,372.75
  5. Step 5: Solve for x
    x = 374,372.75/715.69
  6. Step 6: Final answer
    x = 523.09

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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.