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Finding the Fourth Proportional to 715.37, 1,074.85 and 350.87

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Solution

The fourth proportional to 715.37, 1,074.85 and 350.87 is: 527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.37 : 1,074.85 = 350.87 : x
  2. Step 2: Convert to fraction form
    715.37/1,074.85 = 350.87/x
  3. Step 3: Cross multiply
    715.37x = 1,074.85 × 350.87
  4. Step 4: Simplify right side
    715.37x = 377,126.37
  5. Step 5: Solve for x
    x = 377,126.37/715.37
  6. Step 6: Final answer
    x = 527.18

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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.