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Finding the Fourth Proportional to 715.82, 1,074.14 and 386.75

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Solution

The fourth proportional to 715.82, 1,074.14 and 386.75 is: 580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.82 : 1,074.14 = 386.75 : x
  2. Step 2: Convert to fraction form
    715.82/1,074.14 = 386.75/x
  3. Step 3: Cross multiply
    715.82x = 1,074.14 × 386.75
  4. Step 4: Simplify right side
    715.82x = 415,426.84
  5. Step 5: Solve for x
    x = 415,426.84/715.82
  6. Step 6: Final answer
    x = 580.35

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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.