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Finding the Fourth Proportional to 953.07, 1,429.67 and 513.78

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Solution

The fourth proportional to 953.07, 1,429.67 and 513.78 is: 770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.07 : 1,429.67 = 513.78 : x
  2. Step 2: Convert to fraction form
    953.07/1,429.67 = 513.78/x
  3. Step 3: Cross multiply
    953.07x = 1,429.67 × 513.78
  4. Step 4: Simplify right side
    953.07x = 734,535.85
  5. Step 5: Solve for x
    x = 734,535.85/953.07
  6. Step 6: Final answer
    x = 770.71

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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.