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Finding the Fourth Proportional to 715.68, 1,074.20 and 350.73

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Solution

The fourth proportional to 715.68, 1,074.20 and 350.73 is: 526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.68 : 1,074.20 = 350.73 : x
  2. Step 2: Convert to fraction form
    715.68/1,074.20 = 350.73/x
  3. Step 3: Cross multiply
    715.68x = 1,074.20 × 350.73
  4. Step 4: Simplify right side
    715.68x = 376,752.41
  5. Step 5: Solve for x
    x = 376,752.41/715.68
  6. Step 6: Final answer
    x = 526.43

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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.