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Finding the Fourth Proportional to 513.69, 709.03 and 317.09

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Solution

The fourth proportional to 513.69, 709.03 and 317.09 is: 437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.69 : 709.03 = 317.09 : x
  2. Step 2: Convert to fraction form
    513.69/709.03 = 317.09/x
  3. Step 3: Cross multiply
    513.69x = 709.03 × 317.09
  4. Step 4: Simplify right side
    513.69x = 224,826.42
  5. Step 5: Solve for x
    x = 224,826.42/513.69
  6. Step 6: Final answer
    x = 437.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.